Geometry Chapters 1 & 2 Test - Weebly

Name: Class: Date:ID: AGeometry Chapters 1 & 2 Test1. How many cubes would you use to make the structure below?A. 15 cubesC. 17 cubesD. 18 cubes2. What are the names of three planes that contain point A?A.B.C.D.B. 16 cubesplanes ABDC, ABFE, and ACHFplanes ABDC, ABFE, and CDHGplanes CDHG, ABFE, and ACHFplanes ABDC, EFGH , and ACHF3. Name the intersection of plane ACG and plane BCG. A.AC C.CG B.BGD. The planes need not intersect.4. If EF 2x 12, FG 3x 15, and EG 23, find the values of x, EF, and FG. The drawing is not to scale.A. x 10, EF 8, FG 15B. x 3, EF –6, FG –6C. x 10, EF 32, FG 45D. x 3, EF 8, FG 151

Name:5. If EG 25, and point F is 2/5 of the way between E and G, find the value FG.The drawing is not to scale.A. 12.5B. 10ID: AC. 15D. 206. If T is the midpoint of SU , what are ST, TU, and SU?A. ST 7, TU 63, and SU 126B. ST 80, TU 80, and SU 160C. ST 18, TU 18, and SU 36D. ST 63, TU 63, and SU 1267. Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. The gardenhas a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the garden andpath?A. 120 ftB. 156 ftC. 168 ftD. 84 ft8. What conjecture can you make about the sum of the first 10 odd numbers?C. The sum is 10 11 110.A. The sum is 9 10 90.B. The sum is 10 10 100.D. The sum is 11 11 121.9. If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible,write not possible.Statement 1: If x 7, then 7x – 2 47.Statement 2: x 7A. x 7C. 7x – 2 47B. If 7x – 2 47, then x 7.D. not possible10. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.If it is Friday night, then there is a football game.If there is a football game, then Josef is wearing his school colors.It is Friday night.A. If it is Friday night, then Josef is wearing his school colors.B. Josef is wearing his school colors.C. There is a football game.D. If it is not Friday night, then Josef is not wearing his school colors.11. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.If an elephant weighs more than 2000 pounds, then it weighs more than Jill’s car.If something weighs more than Jill’s car, then it is too heavy for the bridge.Smiley the elephant weighs 2150 pounds.A. Smiley is too heavy for the bridge.B. Smiley weighs more than Jill’s car.C. If Smiley weighs more than 2000 pounds, then Smiley is too heavy for the bridge.D. If Smiley weighs more than Jill’s car, then Smiley is too heavy for the bridge.2

Name:ID: A12. BD bisects ABC. m ABC 7x. m ABD 3x 36. Find m DBC.A. 108B. 72C. 180D. 25213. Find the values of x and y.A. x 15, y 17B. x 112, y 68C. x 68, y 112D. x 17, y 1514. Plane ABC and plane BCE be the same plane.A. mustB. mayC. cannot15. In the figure shown, m AED 121. Which of the following statements is false?A.B.C.D.Not drawn to scalem AEB 59 BEC and AED are vertical angles. AEB and BEC are vertical angles.m BEC 1213

Name:ID: A16. Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how manymiles have you driven, and in which quadrant would you be on the map?A. 6 miles, quadrant IIB. 10 miles, quadrant IIC. 1.2 miles, quadrant IIID. 6 miles, quadrant III17. What are the names of four coplanar points?A.B.C.D.Points P, M , F, and C are coplanar.Points F, D, P, and N are coplanar.Points P, M , N, and C are coplanar.Points P, M , D, and C are coplanar.18. Are points C, G, and H collinear or noncollinear?A. noncollinearB. collinearC. impossible to tell4

Name:ID: A19. Name a fourth point in plane W X V .A. XB. ZC. UD. T20. If Z is the midpoint of RT , what are x, RZ, and RT?A. x 18, RZ 134, and RT 268B. x 22, RZ 150, and RT 300C. x 20, RZ 150, and RT 300D. x 20, RZ 300, and RT 15021. Complete the statement. GDF ?A. DGFB. DEFC. EDFD. DFE5

Name:ID: A22. Name an angle adjacent to DGE.A. FGIB. EGHC. HGJ23. What can you conclude from the information in the diagram?A. 1. LM NM2. NQP is a right angle3. NPQ and OPQ are vertical anglesB. 1. LM LN2. PN PO3. PNO and LNM are adjacent anglesC. 1. LM NM2. PN PO3. PNO and LNM are vertical anglesD. 1. LM LN2. NQP is a right angle3. NPQ and OPQ are adjacent angles6D. JGI

Name:ID: A 24. MO bisects LMN , m LMN 5x 22, m LMO x 31. Find m NMO. The diagram is not to scale.A. 88.5B. 64C. 59D. 44.2525. M(7, 5) is the midpoint of RS . The coordinates of S are (8, 7). What are the coordinates of R?A. (9, 9)B. (6, 3)C. (14, 10)D. (7.5, 6)26. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate gridis superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus isat point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates ofthe rest stop? What is the approximate distance between the high school and the stadium? (One unit 8.6miles.)äå 3 5 ôõåä 5 õôA. åååå , õõõõ , 21.5 milesC. åååå 5, õõõõ , 43 milesæ 2 2öæ 2öäå 5 ôõäå 3 5 ôõB. åååå , õõõõ , 215 milesD. åååå 5, õõõõ , 5 milesæ2 2öæ 2ö27. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while theother two sides measure 17.8 inches. How much ribbon does Ken need?A. 45.1 in.B. 27.3 in.C. 54.6 in.D. 36.8 in.28. Find the area of the circle in terms of π .A. 42π in.2B. 1764π in.2C. 441π in.27D. 84π in.2

Name:ID: A29. What conjecture can you make about the sum of the first 40 positive even numbers?2 2 1 22 4 6 2 32 4 6 12 3 42 4 6 8 20 4 52 4 6 8 10 30 5 6A. The sum is 39 40.B. The sum is 41 42.C. The sum is 40 41.D. The sum is 40 40.30. What is the converse and the truth value of the converse of the following conditional?If an angle is a right angle, then its measure is 90.A. If an angle is not a right angle, then its measure is 90.FalseB. If an angle is not a right angle, then its measure is not 90.TrueC. If an angle has a measure of 90, then it is a right angle.FalseD. If an angle has a measure of 90, then it is a right angle.True31. A conditional can have a of true or false.A. hypothesisC. counterexampleB. truth valueD. conclusion32. For the following true conditional statement, write the converse. If the converse is also true, combine thestatements as a biconditional.If x 7, then x2 49.A. If x2 49, then x 7. True; x2 49 if and only if x 7.B. If x2 49, then x 7. True; x 7 if and only if x2 49.C. If x2 49, then x 7. FalseD. If x2 7, then x 49. False33. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write notpossible.I can go to the concert if I can afford to buy a ticket.I can go to the concert.A. I can afford to buy a ticket.B. I cannot afford to buy the ticket.C. If I can go to the concert, I can afford the ticket.D. not possibleUse the given property to complete the statement.34. Multiplication Property of EqualityIf 5x 9 36, then .A. 5x 324B. 5x 9 324C. 36 5x 9D. 36 5x 98

Name:ID: A35. What is the value of x?A. –16B. 120C. 609D. 16

ID: AGeometry Chapters 1 & 2 TestAnswer Section1. ANS:REF:OBJ:NAT:KEY:2. ANS:OBJ:NAT:TOP:3. ANS:OBJ:NAT:TOP:4. ANS:OBJ:STA:KEY:5. ANS:OBJ:STA:KEY:6. ANS:OBJ:STA:7. ANS:REF:OBJ:NAT:TOP:KEY:8. ANS:REF:OBJ:NAT:STA:TOP:KEY:9. ANS:OBJ:NAT:STA:TOP:KEY:CPTS: 1DIF: L41-1 Nets and Drawings for Visualizing Geometry1-1.1 To make nets and drawings of three-dimensional figuresCC G.CO.1 G.1.d G.1.e G.3.bSTA: 4.1.PO 2TOP: 1-1 Problem 3 Isometric Drawingisometric drawingAPTS: 1DIF: L4REF: 1-2 Points, Lines, and Planes1-2.1 To understand basic terms and postulates of geometryCC G.CO.1 G.3.b G.4.bSTA: 4.1.PO 5 5.2.PO 131-2 Problem 1 Naming Points, Lines, and PlanesKEY: plane pointCPTS: 1DIF: L4REF: 1-2 Points, Lines, and Planes1-2.1 To understand basic terms and postulates of geometryCC G.CO.1 G.3.b G.4.bSTA: 4.1.PO 5 5.2.PO 131-2 Problem 3 Finding the Intersection of Two PlanesKEY: plane intersectionAPTS: 1DIF: L4REF: 1-3 Measuring Segments1-3.1 To find and compare lengths of segmentsNAT: CC G.CO.1 CC G.GPE.6 G.3.b5.2.PO 4TOP: 1-3 Problem 2 Using the Segment Addition Postulatecoordinate distanceCPTS: 1DIF: L4REF: 1-3 Measuring Segments1-3.1 To find and compare lengths of segmentsNAT: CC G.CO.1 CC G.GPE.6 G.3.b5.2.PO 4TOP: 1-3 Problem 2 Using the Segment Addition Postulatecoordinate distance partition segment in a given ratioDPTS: 1DIF: L4REF: 1-3 Measuring Segments1-3.1 To find and compare lengths of segmentsNAT: CC G.CO.1 CC G.GPE.6 G.3.b5.2.PO 4TOP: 1-3 Problem 4 Using the Midpoint KEY: midpointCPTS: 1DIF: L41-8 Perimeter, Circumference, and Area1-8.1 To find the perimeter or circumference of basic shapesCC N.Q.1 M.1.c M.1.f M.2.a G.3.b A.4.eSTA: 5.1.PO 2 5.2.PO 41-8 Problem 1 Finding the Perimeter of a Rectangleperimeter word problem problem solvingBPTS: 1DIF: L42-1 Patterns and Inductive Reasoning2-1.1 To use inductive reasoning to make conjecturesCC G.CO.9 CC G.CO.10 CC G.CO.11 G.5.a4.1.PO 3 5.2.PO 2 5.2.PO 4 5.2.PO 5 5.2.PO 62-1 Problem 3 Collecting Information to Make a Conjectureinductive reasoning conjecture patternCPTS: 1DIF: L4REF: 2-4 Deductive Reasoning2-4.1 To use the Law of Detachment and the Law of SyllogismCC G.CO.9 CC G.CO.10 CC G.CO.114.1.PO 3 5.2.PO 2 5.2.PO 4 5.2.PO 5 5.2.PO 62-4 Problem 1 Using the Law of DetachmentLaw of Detachment deductive reasoning1