Geometry STAAR Practice Test A

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Name Class DateGeometry STAAR Practice Test A1 What is the measure of each interior angle ofa regular 12-gon?A 132 C 180 B 150 D 216 2 Consider the following statements.A prime number is a natural number that hasno positive divisors other than 1 and itself.The numbers 3, 5, and 7 are prime numbers.Therefore, all prime numbers are oddnumbers.Which counterexample can be used to showthat the conclusion is not always true?F 2H 37G 12J 993 Which of the following is an essentialdifference between Euclidean geometry andspherical geometry?Copyright Pearson Education, Inc., or its affiliates. All rights reserved.A the number of angles in a triangleB the existence of right anglesC the number of degrees in a circleD the nature of parallel lines5 When the ordered pairs A(1, 1), B(3, 5),C(7, 5), and D(9, 1) are connected, whatneeds to be true in order to prove ABCD is atrapezoid?A The slopes of exactly one pair of linesegments must be negative reciprocals.B The slopes of exactly one pair of linesegments must be reciprocals.C The slopes of exactly one pair of linesegments must be the same.D The slopes of exactly one pair of linesegments must be zero.6 nABC and nDEF are similar.C12BAF818ED12Which of the following must be true aboutthe similar triangles?F m/E 5 m/CG m/F 5 m/A4 A right triangle is drawn on a coordinategrid. One of the two legs can be modeled bythe equation y 5 2x 1 5. Which equationcould model the other leg of the righttriangle?ABH BCEF 5 FDJ The perimeter of nDEF is 1.5 times theperimeter of nABC.F y 5 12 x 1 1G y 5 2 12 x 1 2H y 5 22x 1 4J y 5 22x 2 1GO ONSTAAR Geometry EOC Assessment PracticeGeometry STAAR Practice Test A107

Name Class Date7 The sum of the interior angles of a triangleis 180 . The sum of the interior angles of aquadrilateral is 360 . The sum of the interiorangles of a pentagon is 540 . Use what youknow about the sum of the interior angles ofa triangle, quadrilateral, and pentagon. Whatis the sum, in degrees, of the interior anglesof a hexagon?Record your answer and fill in the bubbleson your answer document.8 A circle centered at (21, 3) passes throughthe point (4, 6). What is the approximatecircumference of the circle?F 18.3 unitsG 36.6 unitsH 29.8 units10 The orthocenter of a triangle is the pointwhere the altitudes of a triangle intersect.Which set of steps shows how to constructthe orthocenter of a triangle?F Construct the angle bisector of eachvertex of the triangle. The point wherethe lines intersect is the orthocenter.G Construct a line perpendicular to eachside of the triangle that passes throughthe opposite vertex. The point where thelines intersect is the orthocenter.H Construct a line perpendicular to eachside of the triangle through the midpointof the side. The point where the linesintersect is the orthocenter.J Construct a line through the midpointof each side of the triangle through theopposite vertex. The point where the linesintersect is the orthocenter.J 59.6 unitsIf a person is on the company’s payroll, thenthe person is an employee.Jackson is on the company’s payroll.What conjecture can you make about themidsegment of a triangle?A Jackson might be an employee.A A midsegment between two sides of atriangle is perpendicular to the third sideand is half the length of the third side.C Jackson is an employee.B Jackson used to be an employee.D Jackson is not an employee.B A midsegment between two sides of atriangle is parallel to the third side and ishalf the length of the third side.C A midsegment between two sides of atriangle is perpendicular to the third sideand is twice the length of the third side.D A midsegment between two sides of atriangle is parallel to the third side and istwice the length of the third side.108Geometry STAAR Practice Test AGO ONSTAAR Geometry EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.9 Three triangles and their midsegments areshown.11 Using the Law of Detachment and the givenstatements, what is the conclusion?

Name Class Date12 What is the equation of the line thatpasses through the point (28, 2) and isperpendicular to the line y 5 22x 1 6?15 Triangle ABC is shown below.A10 cmF y 5 2x 1 10G y 5 2x 1 18BH y 5 12 x 1 645 CApproximately how much longer is ACthan AB?J y 5 12 x 1 10A 2 cmB 3 cmC 5 cmCopyright Pearson Education, Inc., or its affiliates. All rights reserved.13 The table below relates the number of sidesof a polygon to the number of diagonals.Numberof Sides, nNumber ofDiagonals4255697891014202735D 7 cm16 Three rhombuses and their diagonals areshown.Which expression can you use to find thenumber of diagonals in a polygon?A 2nWhat conjecture can be made about thediagonals of a rhombus?B 2n 1F One diagonal of a rhombus is two timeslonger than the other diagonal.2C n22DG The diagonals of a rhombus arecongruent.n(n 2 3)2H The diagonals of a rhombus are parallelto each other.14 What is the cross section formed by a planeintersecting a sphere?F circleG squareJ The diagonals of a rhombus areperpendicular to each other.H triangleJ rectangleSTAAR Geometry EOC Assessment PracticeGO ONGeometry STAAR Practice Test A109

Name Class Date17 In the figure below, DE is parallel to GH.EDFGHIf the perimeter of nDEF is 22 mm,DF 5 8 mm, and FG 5 4 mm, what is theperimeter of nGHF?A 11 mm19 Damon’s cup is in the shape of a cylinder.The height of the cup is 6 inches and the basehas a diameter length of 2.5 inches. Damonfills the cup three-fourths full of water.How much water, in cubic inches, is in thecup? Use 3.14 for . Round to the nearesthundredth.Record your answer and fill in the bubbleson your answer document.20 A line segment has endpoints of (–2, 6) and(–4, –9). What is the midpoint of the linesegment?B 16 mmF (3, –7.5)C 22 mmG (–3, 7.5)D 44 mmH (–3, –1.5)J (–3, 1.5)1 80 2 34 56 (4x 12) F 100G 88H 28J 2221 Let points A, B, C, D, and E be collinear. LetB be the midpoint of AC, let C be the midpointof BD, and let D be the midpoint of CE. Whatjustification can you use to fill in the blank toprove that C is the midpoint of AE?Because B, C, and D are the midpoints ofAC, BD, and CE, respectively, you know thatAB 5 BC, BC 5 CD, and CD 5 DE. Bythe ? , AB 5 DE. By the AdditionProperty of Equality, AB 1 BC 5 CD 1 DE.But AB 1 BC 5 AC and CD 1 DE 5 CE, soAC 5 CE. Therefore, C is the midpoint of AE.A Reflexive Property of EqualityB Transitive Property of EqualityC Substitution PropertyD Symmetric Property of EqualityGO ON110Geometry STAAR Practice Test ASTAAR Geometry EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.18 What is the value of x?

Name Class Date22 Using the Law of Syllogism and the givenstatements, what is the conclusion?If a quadrilateral is a square, then it has fourcongruent sides.25 What is the approximate total surface areaof the cylinder shown below? Use 3.14 for .Round to the nearest tenth.If a quadrilateral has four congruent sides,then it is a rhombus.9 in.F If a quadrilateral is a rhombus, then it is asquare.2 in.G If a quadrilateral is a square, then it is arhombus.H If a quadrilateral has four congruentsides, then it is not a square.A 452.2 in.2J If a quadrilateral has four congruentsides, then it is not a rhombus.C 138.2 in.223 How many faces does a polyhedron have if ithas 8 vertices and 12 edges?Copyright Pearson Education, Inc., or its affiliates. All rights reserved.A 2B 251.1 in.2D 113.0 in.226 If /C and /D are supplementary angles andthe measure of /D is f, which equation canbe used to find e, the measure of /C?B 6F e 5 90 2 fC 14G e 5 180 1 fD 26H e 5 90 1 fJ e 5 180 2 f24 The volume of a rectangular prism is400 cm3. If each dimension of the rectangularprism is doubled, how is the volumeaffected?F The volume is doubled.G The volume is multiplied by 4.H The volume is multiplied by 8.J The volume is multiplied by 16.27 A ten-foot ladder is placed on the side ofa house. The distance between the base ofthe ladder and the house is 5 feet. How farup the house, in feet, does the ladder reach?Round to the nearest tenth.Record your answer and fill in the bubbleson your answer document.GO ONSTAAR Geometry EOC Assessment PracticeGeometry STAAR Practice Test A111

Name Class Date28 Triangle CDE is congruent to triangle LMN.Which side is congruent to LN?F CD30 What transformation(s) are used to makethe pattern shown below from one of itshexagonal tiles?G DEH CEJ LM29 Which of the following best represents thefront view of the figure shown below?F Translation onlyG Translation and reflectionRightH Reflection onlyJ Rotation onlyFront31 Triangle ABC is a 30 -60 -90 triangle.If triangle A9B9C9 is the result of reflectingtriangle ABC over the x-axis, what are theangle measures of triangle A9B9C9?AA 20 -70 -90 BB 60 -60 -60 D 30 -60 -90 C32 Dean has a table with a circular top. What isthe area, in square feet, of the table top?Use 3.14 for . Round your answer to thenearest tenth.D12.6 ftRecord your answer and fill in the bubbleson your answer document.GO ON112Geometry STAAR Practice Test ASTAAR Geometry EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.C 45 -45 -90

Name Class Date33 Kristy is building a ramp. The right face ofthe ramp is in the shape of a right triangle.The base length and height of the rampare shown. What is the distance along theinclined portion of the ramp?35 Trapezoid ABCD is graphed on thecoordinate plane shown below.y8DC624 in.143 in.4A 119 in.2B 141 in.A2OC 145 in.D 167 in.B46x8Which set of coordinates represents thevertices of a trapezoid congruent totrapezoid ABCD?34 Which equation represents the pattern,where x is the figure number and y is thenumber of dots in the figure?A (13, 2), (14, 2), (11, 8), (16, 8)B (3, 6), (3, 9), (9, 7), (9, 10)C (8, 4), (14, 5), (8, 9), (14, 8)Copyright Pearson Education, Inc., or its affiliates. All rights reserved.D (14, 5), (17, 5), (12, 11), (19, 11)Figure 1Figure 2Figure 3Figure 436 What is the approximate area of the shadedregion below? Use 3.14 for . Round to thenearest tenth.F y 5 4x3 cmG y 5 4x 1 1105 H y 5 2xJ y 5 2x 1 1F 4.4 cm2G 8.2 cm2H 16.5 cm2J 28.3 cm2GO ONSTAAR Geometry EOC Assessment PracticeGeometry STAAR Practice Test A113

Name Class Date40 The triangles shown are similar.37 The following points can be used todetermine several lines:A(3, 29), B(0, 22), C(4, 5),D(5, 19), F(22, 20), G(12, 19)}x19.5v13Which line is perpendicular to AC ?} v}CDv}v}vA BCC DFBD FG5What is the value of x?Record your answer and fill in the bubbleson your answer document.38 nABC nXYZBY85 32 ACZX41 In the triangle shown below, what is theapproximate length of FG?FWhat is the measure of /X?8 in.F 32 G 63 GH 85 7 in.HA 10.6 in.C 3.9 in.B 5.5 in.D 1.0 in.39 If the triangles are similar, which theorem orpostulate proves they are similar?36201642 A circle is drawn inside a rectangle. Point Lin the rectangle is chosen at random. What isthe probability that point L lies in the shadedregion? Use 3.14 for . Round to the nearestpercent.10 yd456 ydA AA PostulateB SAS TheoremC SSS TheoremD The triangles are not similar.F 11%H 53%G 47%J 89%GO ON114Geometry STAAR Practice Test ASTAAR Geometry EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.J 180

Name Class Date43 Look at the following progression of figures.1 145 In the figure below, AC is parallel to DE andBC is three times as long as BE Which of thefollowing statements is true?A113 4CDE11315 9B1 1 3 1 5 1 7 16A nDBE has three times the areaof nABC.B AC is three times the length of AD.C AD is three times the length of BE.D AC is three times the length of DE.Based on this pattern, what do you think isan expression for the sum of the first n oddnumbers?46 What is the area of the figure shown below?A n210 in.14 in.Copyright Pearson Education, Inc., or its affiliates. All rights reserved.B 3nC2n(n 1 1)3D (n 1 1)(2n 1 1)4 in.7 in.10 in.3 in.F 196 in.244 The midpoint of JK is (24, 1). If J hascoordinates (6, 2) and K has coordinates(x, y), which equation can be used to find x?G 138 in.2H 133 in.2J 98 in.2F x 5 (24)(2) 2 6G x 5 (24)(2) 1 6H x 5 (6 2 4) 4 2J x 5 (6 1 4) 4 2GO ONSTAAR Geometry EOC Assessment PracticeGeometry STAAR Practice Test A115

Name Class Date47 Which set of ordered pairs contains onlycoordinates of vertices of the polygongraphed below?449 What is the area of the figure? Use 3.14for . Round to the nearest hundredth.12 my212 m6m–4–2 O24x–2–4A {(22, 5), (25, 1), (21, 0)}B {(1, 25), (4, 4), (21, 3)}C {(3, 1), (22, 25), (0, 1)}3mA 68.13 m2B 82.26 m2C 86.13 m2D 100.26 m2D {(25, 1), (0, 21), (3, 21)}48 Craig has a carpet remnant with thedimensions shown below.16 in.PQT RS U20 in.What is the area of this remnant?F 96 in.2G 160 in.2H 192 in.2J 320 in.2Which letter is on the face parallel to the facewith the letter Q?F RG SH TJ UGO ON116Geometry STAAR Practice Test ASTAAR Geometry EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.50 The net below shows the surface of a cube.

Name Class Date51 Right triangle DEF has side lengths of 9 feet,40 feet, and 41 feet. Which of the followingare side lengths of a triangle similar totriangle DEF?A 7 ft, 24 ft, 25 ftB 8 ft, 15 ft, 17 ftC 11.25 ft, 50 ft, 61.5 ftD 22.5 ft, 100 ft, 102.5 ft52 A cone has a volume of 35 cm3. If the radiusof the cone is doubled and the height is heldconstant, what will be the new volume of thecone?F 280.0 cm3G 219.8 cm3H 140.0 cm3Copyright Pearson Education, Inc., or its affiliates. All rights reserved.J 70.0 cm3STOPSTAAR Geometry EOC Assessment PracticeGeometry STAAR Practice Test A117

Name Class DateSTAAR Practice Test A Answer Sheet123456ACG HA B CFHA BF G HDJ12131415161718JDItem 7Use grid BELOW891011720Copyright Pearson Education, Inc., or its affiliates. All rights 93031.012345678901234567890123456789F GJA B CFH JA B 456789STAAR Geometry EOC Assessment 23456789.BDG HBDH JB CH JC D0123456789012345678901234567890123456789G HA B CF GA B CG HA BFHA B CF G444546474849505152JJJDJJA BDF GJB C D27080123456789012345678970123456789.AFAFAFAItem 40Use grid BELOWItem 32Use grid BELOW190123456789AC DF GJA BDF G HItem 27Use grid BELOWDF GJAC DFH J.0123456789124JItem 19Use grid BELOWFH JAC DFH JA BD7F GA B CG HACF G HB CF G 67890123456789012345678950123456789STAAR Practice Test A Answer Sheet   101

Solids of RotationsName:Date: Period:1. Rotate the shaded regionabout the x-axis.2. Rotate the shaded regionabout the mula:V πr2hVolume:V π(4)2(2) 32π units3Volume:3. Rotate the shaded regionabout the line x 2.4. Rotate the shaded regionabout the line x olume:5. The plane region is revolved completely about the y-axis. Describe the solid and find its surface areaand volume. Round your answer to the nearest whole number.ySA V x

Write the description, formula, and volume (in terms of π) for each:Rotate the shaded regionabout the line y -1IVRotate the shadedregion about the y-axis.IXRotate the shadedregion about the x-axis.XIRotate the shaded regionabout the x-axis.VRotate the shadedregion about the y-axis.XRotate the shadedregion about the x-axis.XIIAnswers: IV) 64π units3. V) 32/3 π units3. IX) 16π units3. X) 32/3 π units3. XI) 32π units3. XII) 128/3 π units3.

Slopes of a CurveName:Date: Period:Pre-AP topicAdapted from "Adapted--Calculus AB--2006--Form B Problem 4" in Pre-AP Geometry (High School) Course Materials by Melissa Burkhead(a)Find the total number of calories burned over the time interval 6 t 18 minutes.(Find the area of the under the graph between the 6-min mark and 18-min mark.)(16, 15)(20, 15)(4, 9)(12, 9)(24, 3)(b)The setting on the machine is now changed so that an average of 15 calories per minute is burned duringthe time interval 6 t 18. What is the total number of calories now burned?(c)This new setting is modeled by the new function g(t) f(t) c. Find c.(The graph of f(t) was translated up c units, so the area under the graph has increased. How many units does the graph need tomove up to make up the difference between the new area and original area?)(Hint: If c 1, meaning the graph of f(t) was translated up 1 unit, how much does the area increase?If c 2, how much does the area increase?)Approximating Area under a CurveAdapted from Pre-AP Geometry (High School) Course Materials by Melissa BurkheadName:1) Consider the function f(x) x 2 on the interval [1, 5]. Shade the areabounded by the x-axis, the curve f(x), the line x 1, and the line x 5.Approximate this area by using only two rectangles.Is your answer an over-approximation or an under-approximation? Why?Approximate the area under the curve usinga) a left sum with 4 rectanglesb) a right sum with 4 rectanglesc) a single trapezoid

2) Consider the function f(x) x3 1 on the interval [1, 4].Complete the table below.Use the points to plot and sketch a graph.x-101yy2346510On the graphing calculator, enter the function in theY screen. Press GRAPH to see what it looks like,then press 2ND GRAPH to complete the table. Plotthese points and connect them to sketch the graph.x0.51Shade the area bounded by the , the curve f(x), the line , and the line .a) Approximate the area under the curve using a left sum first with 3 rectangles, then using 6 rectangles.Hint: Press 2ND WINDOW to change the TBLSET: if it says Tbl 1, change it to Tbl 0.5b) Approximate the area under the curve using a right sum first with 3 rectangles, then using 6 rectangles.c) Approximate the sum using 6 trapezoids. Do you see a computational short cut?3) Graph y –(x – 4)2 9. Shade the area bounded by the curve, x-axis, lines x 2 and x 7.Approximate the area under the curve using a a) left sum with 5 rectanglesb) right sum with 5 rectanglesc) sum with 5 trapezoidsd) left sum with 10 rectanglese) right sum with 10 rectanglesf)sum with 10 trapezoidsxy

Review for Pre-AP Test 4-3Name:Solids of Rotation will also be on the test! Be sure to finish that handout! Date: Period:For each part of a piecewise linear function, find the interval, slope, equation, length, and area under the curve:ABCDGraph of f(x)EGOFind the: of OA of AB1. Interval of BC of CD of DE of EG1 x 42. Slope3. Equationin slopeintercept form4. Length(use thedistanceformula ordraw a right )5. Area underthe curve(calculate arectangle,triangle, ortrapezoid)6. Is f(x)increasing/decreasing/constant?7. Is the slopeof f(x) incr /decr /constant?8. Which segments are parallel?Which segments are perpendicular?9. What is the area under the curve bounded by the curve f(x), the x-axis, the line x 0, and the line x 10?10. If f(x) is translated 5 units up, how will the area under the curve change (w/ the same boundaries as above)?11. What is the area under the curve bounded by the curve f(x), the x-axis, the line x 4, and the line x 8?

Area under a Curve: Consider the curve y 0.25x2 2 in the interval [1, 4].612. Is the function increasing, decreasing, or constant in the interval [1, 4]?513. Is the slope of the function increasing, decreasing, or constant?4Xy31223142Approximate the area under the curve in the interval [1, 4] using:14. a left sum with 3 rectangles.15. a right sum with 3 rectangles.Solve the following systems of equations:17.Marcos had 15 coins in nickels and quarters.He had 3 more quarters than nickels. How manynickels and quarters does he have?18.416. a sum of 3 trapezoids.a b 302a – 3b 10Factor the following trinomials. Then find their solutions/roots/x-intercepts.20.5x2 – 13x – 619.3x2 x – 1021.6x2 – 11x – 222.4x2 x – 3Real World Example of Slope:23. Gina did a research project on how age affects sleep patterns. She concluded that as people age, they sleepfewer hours until a point in adulthood when the number of hours remains constant. Gina also found that after theage of 70 the amount of time sleeping increases slightly. Which graph best shows the results of Gina’s research?

Review for Pre-AP Test 4-3 (continued)Surface Area, Volume, Dimensional Change, Solids of Rotation, Circles4. If you cut a 1-inch square out of each corner of an8.5-by-11-inch piece of paper and fold it into a boxwithout a lid, what is the volume of the container?Name:Date: Period:24. Find the surface area and volume of the compositefigure.25. Find the surface area and the volume of the28. A hemispherical lollipop has a cube-shaped bubblecomposite figure (a cone with a cylinder cut out of it). gum center. Find the amount of lollipop syrup needed tocover the bubble-gum.29. The volume of the larger prism is 128 cm3 and itssurface area is 80 cm3. The volume of the smallerprism is 54 cm2. If the prisms are similar, what is thewidth (x) and surface area of the smaller prism?51. Find the volume of the shaded region rotated about the a) x-axisb) y-axis8 cmx cm52. a) Find the value of x.b) Extend lines ZY and OP until they intersect. Findthe distance between the intersection point and Y.54. Find the values of x and y.53. Write an equation of a circle that has a diameter withendpoints A(-3, 1) and B(0, 9).55. Find the value of x.56. Find the values of x and y.10yAnswers: 4. 58.5 in352. a) 634; b) 75.24. ? 25. ? 28. ? 29. x 6 cm; surface area 45 cm2.53. (x 1.5)2 (y – 5) 2 18.25. 54. x 25.8; y 154. 55. 4.51. a) 17⅓ π u3; b) 87⅓ π u3.56. x 13.673; y 9.325.

GeometryFind angles in circlesNameDate Period1. GE is a diameter of circle O. IH and KJ are tangents of circle O.m FE 40, m ED 20, m DC 76, m AB 30, m GA 10. Find:HE(a) m ALB (g) m ACK (b) m BLC (h) m FGE (c) m JCA (i) m EFG FDIJO(d) m EOD (j) m GFO (e) m FEG (k) m IFG (f) m FOE (l) m HFE CLBGAK4. RH and KE are diameters of circle O. FE and AK are tangents. m EOH 70, m CR 10,m DE 60. Find:(a) m RK (j) m KEH (b) m KH (k) m HEG (c) m HE (l) m RHE (d) m KAE (m) m RHK (e) m HBE (n) m HKO A(f) m KCE (o) m EKD (g) m EMD (p) m CKD (h) m KFE (q) m KLH (i) m CEK (r) m KJH KHOLJGRBCMEDFAnswers: #1: (a) 53 (b) 127 (c) 143 (d) 20 (e) 70 (f) 40 (g) 37 (h) 20 (i) 90 (j) 20 (k) 70 (l) 20.#4: (a) 70(b) 110 (c) 70 (d) 50 (e) 30 (f) 90 (g) 70 (h) 60 (i) 40 (j) 55 (k) 35 (l) 55 (m) 35 (n) 35 (o) 30 (p) 20 (q) 60 (r) 80

Castle ModelGroup Project (double daily grade)Names: , ,and Date: Period:Work in groups of 3 to create a model of a castle out of household items. It must include the six different 3-Dsolids listed below. Tape or glue them together so that the total structure fits on the surface of a student desk.Each team member is responsible for measuring the dimensions of 2 different solids and finding their individualsurface areas (exterior surfaces only) and volumes. Show work neatly on notebook paper, staple the work to thiscover sheet, and record your answers in the table below. Circle the solids that you were responsible for.Write the unit of measurement that your group used:HeightSlantRadiusPerimeterArea of theheightof the r prismPyramidN/ACylinderExterior Surface Area(that can be painted)N/AConeSphere* orhemisphereVolumeN/AN/AN/AN/A* Hint for finding the radius of the sphere: you must first find the "perimeter of the base" (the circumference of its great circle).Calculate the following:1. Total volume of castle:2. Total surface area of castle:If a gallon of paint covers 175 square units and costs 22.50 a gallon:3. How many gallons would be required to paint the exterior of the castle?Show work here:4. How much would it cost to paint the exterior of the castle?Show work here:For questions 5-7, show work neatly in the space provided or notebook paper and staple it to this sheet.5. A museum wants to buy your castle and cover the cone with 5-unit-thicklayer of "lava" to make it look like a volcano. How much "lava" will it need?A regular triangular prism is cut out of the cylinder's interior. The triangle's sides are the same length as thecylinder's radius. The prism and cylinder have the same height. Assume the cylinder is standing with its base on theground (and not touching on another solid).6. How much will the total volume of the cylinder change? by7. How much will the total exterior surface area of the cylinder change? by

Reflect-EvaluationName:1. How did you contribute to the project?2. What did you learn about your topic in the process of developing this project?3. What did you learn about yourself in the process of developing this project?4. What were your group's strengths?5. What were your group's weaknesses?6. What are some of the things that you learned about working with others?7. What would you do better the next time your group works together?8. Rate yourself and each of your group members' level of participation in the project:0 not enough, 2 fair, 4 a lot, 6 did most of the work.The solids thisNameperson wasRatingExplain your ratingresponsible for024602460246If you don't have enough room, write on notebook paper and attach it. Fold this paper in half and turn it in.Grading Rubric (completed by the teacher):Grade: Group component:/ 32 pointsMeasurements and calculations recorded in the table are correct. (1 point each blank)/ 35 pointsAnswer and work to questions 1-7 are correct. (5 points each)Grade: Individual component:/ 16 pointsThe stapled work for both your solids include (i) a sketch of the solid, (ii) measurementslabeled on the sketch, (iii) the formulas used, and (iv) correct work. (2 points each part)/ 5 pointsReflect-Evaluation is completed by you./ 12 pointsLevel of participation your total ratings on your group members' Reflect-Evaluation.Total grade: / 100 points

Geometry GT/Pre-AP Spring Semester Review 2012Textbook chapters 5, 6, 8, 10, 11, 12Name:Date: Period:Exercises for Unit 3.1 (chapter 5-5): Inequalities in Triangles76. In EFG, m E 5x 2, m F 6x – 10, and m G x 20. List theangles in order from smallest to largest , and the sides in order from shortest to longest .77. Two sides of a triangle have side lengths 8 units and 17 units. Write an inequality thatdescribes the range of lengths that are possible for the third side.Exercises for Unit 3.1 (chapter 8): Right Triangles and TrigonometryThe lengths of three sides of a triangle are given. Describe each triangle as acute, right, or obtuse.1. 14, 48, 502. 6, 7, 9Find the values of the variables. Leave your answers in simplest radical form.3. x 4. x y 5. x y What are the measures of the two congruent angles?Find the value of x. Round lengths of segments to the nearest tenth and angle measures to the nearest degree.6.7.8. A surveyor measures the top of a building 50 ft away from him. His angle-measuring device is 4 ftabove ground. The angle of elevation to the top of the building is 63 . How tall is the building?9. A forest ranger looking out from a ranger’s station can see a forest fire at a 35 angle ofdepression. The ranger’s position is 100 ft above the ground. How far is it from the ranger’s station to the fire?10. A moving van traveled 200 mi west, then 70 mi south, then 50 mi east, and finally 100 mi north.Find the distance from the point of origin to the destination (to the nearest mile), and the direction traveled.Find the value of each variable. Leave your answers in simplest radical form. Then find the perimeter and area ofeach composite figure.11. w x 12. p q y z r s perimeter perimeter

Exercises for Unit 3.2 (chapter 6): QuadrilateralsGraph quadrilateral ABCD. Then determine the most precise name for each quadrilateral.Then find the perimeter of each quadrilateral. Leave your answers in simplest radical form.13. NamePerimeterA(2, 3), B(-4, 3), C(-2, 6), D(1, 6)14. NamePerimeterA(0, 6), B(3, 3), C(0, -5), D(-3, 3)15. NamePerimeterA(0, 4), B(3, 0), C(7, 3), D(4, 7)16. QUVX is a rectangle with X(-7, -3) and Z(-2, 1). What are the coordinates of U?17. Parallelogramx y 18. Parallelogramx 19. Rhombus 1 , 2 perimeter Give the coordinates of the missing points without using any new variables.20. Q ( , )Parallelogram21. D( , ), E( , ) 22. A( , 4b), L( , ), T(0 , )Isosceles TrapezoidRhombusExercises for Unit 3.3 (chapter 10): Area, Perimeter and CircumferenceIf your answer is not an integer, round to the nearest tenth.23. Find the area of an equilateral triangle with side length of 6 ft.24. Find the area of a regular hexagon with side length of 4 cm.25. Find the area of an isosceles triangle with legs each 20 ft long and a base 24 ft long.

26. Area 27. Length of arc PQ Area of sector PNQ 28. %

D the nature of parallel lines 4 A right triangle is drawn on a coordinate grid. One of the two legs can be modeled by the equation y 5 2x 1 5. Which equation could model the other leg of the right triangle? F y 5 1 2x 1 1 G y 5 2 1 2x 1 2 H y 5 22x 1 4 J y 5 22x 2 1 5 When the ordered pairs

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