FSA Mathematics Practice Test Answer Key - Weebly

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GeometryFSA MathematicsPractice Test Answer KeyThe purpose of these practice test materials is to orient teachers andstudents to the types of questions on paper-based FSA tests. By using thesematerials, students will become familiar with the types of items and responseformats they may see on a paper-based test. The practice questions andanswers are not intended to demonstrate the length of the actual test, norshould student responses be used as an indicator of student performance onthe actual test. The practice test is not intended to guide classroominstruction.

All trademarks and trade names found in this publication are the property oftheir respective owners and are not associated with the publishers of thispublication.Page 2

Session 1Page 3

Session 1FSA Mathematics Practice Test Answer Key1. Match each building with the geometric shapes that can be used to model G»H»I»J»K»L14978Page 4Go On

Session 1FSA Mathematics Practice Test Answer Key2. In the diagram shown, chords AB and CD intersect at E. The measureof AC is 120 , the measure of DB is (2x) , and the measure of AECis (4x) .AD(4x) 120 (2x) EBCWhat is the degree measure of AED?1 00------ 66666677777778888888999999914928Page 5Go On

Session 1FSA Mathematics Practice Test Answer Key3. Triangle SRT is shown.y1098765432STR1–1 0–1123456789 10xChoose the correct equation or word to fill in each blank in theparagraph. For each blank, fill in the circle before the equation or wordthat is correct.The vertices of Δ SRT are S (1, 4), R (2, 2) and T (1, 3). A reflection acrossthe line [ A x 4 B x 6 C y –x 5 » y –x 6]and then across the line [ A y 6 B y 8 » y –x 10D y –x 12] is the same as a translation of 4 units to the right and 4units up because the lines are [ A congruent » parallelC perpendicular D similar].15028Page 6Go On

FSA Mathematics Practice Test Answer KeySession 14. Johnny wants to find the equation of a circle with center (3, –4) and aradius of 7. He uses the argument shown.Choose the correct word or phrase to fill in each blank in the argument.For each blank, fill in the circle before the word or phrase that is correct.Johnny’s ArgumentLet (x, y) be any point on the circle. Then, the horizontal distance from(x, y) to the center is .»ABCD x – 3 x 3 x – 4 x 4 The vertical distance from (x, y) to the center is .ABC»D y – 3 y 3 y – 4 y 4 The total distance from (x, y) to the center is the radius of the circle, 7.The can now be used to create an equation that shows therelationship between the horizontal, vertical, and total distance of (x, y)to the center of the circle.A perimeter formula» Pythagorean TheoremBC quadratic formula14936Page 7Go On

Session 1FSA Mathematics Practice Test Answer Key5. Regular pentagon EFGHI with center K is shown.IHEKGFSelect all the transformations that carry pentagon EFGHI onto itself.» a reflection across line EK, a 180 counterclockwise rotation aboutpoint K, and a reflection across a vertical line through point KB a 90 counterclockwise rotation about point E, a reflection across lineFG, and a vertical translationC a reflection across line FI, a reflection across line GH, and a 180 clockwise rotation about point K» a reflection across a vertical line through point K, a 180 clockwiserotation about point K, and a reflection across line EKE a 180 clockwise rotation about point E, a reflection across a verticalline through point E, and a reflection across a horizontal line throughpoint E14942Page 8Go On

Session 1FSA Mathematics Practice Test Answer Key6. Alejandro cut a circle with circumference C and radius r into 8 congruentsectors and used them to make the figure shown.HeightAlejandro noticed that the figure was very close to the shape of aparallelogram.Select all the statements that apply to the figure.A The height of the parallelogram is approximately equal to the circle’sdiameter.» The area of the parallelogram is approximately1Cr.2C The length of the parallelogram is approximately equal to the circle’scircumference.» The radius of the circle is approximately equal to the height of theparallelogram.» The area of the parallelogram is approximately 8 45360r2 .14937Page 9Go On

Session 1FSA Mathematics Practice Test Answer Key7. Evelyn is designing a pattern for a quilt using polygon EQFRGSHP shown.y1086EP4Q2–10 –8 –6 –4 –2 0–2RHS–4F246810x–6G–8–10Evelyn transforms EQFRGSHP so that the image of E is at (2, 0) and theimage of R is at (6, –7).Which transformation could Evelyn have used to show EQFRGSHP and itsimage are congruent?A EQFRGSHP was reflected over the line y x 2.» EQFRGSHP was translated right 7 units and down 4 units.C EQFRGSHP was rotated 135 degrees clockwise about the point Q.D EQFRGSHP was rotated 90 degrees clockwise about the point (–3, –1).14943Page 10Go On

Session 1FSA Mathematics Practice Test Answer Key8. Katherine uses Δ ABC , where DE AC to prove that a line parallel to oneside of a triangle divides the other two sides proportionally. A part of herproof is shown.BDEACStatementsReasons1. DE AC1. Given2. BDE BAC and BED BCA 2.3. Δ BACΔ BDE4.BABD5. BA3.BCBEBD4.DA BCBEEC5. Segment addition postulate6.6.7.7.8.8. Subtraction property of equalityWhich statement completes step 8 of the proof?A BA – BD DA and BC – BE ECB AD BD and CE BECBABCDAEC»DABDECBE15020Page 11Go On

Session 1FSA Mathematics Practice Test Answer Key9. A rectangle and a horizontal line segment are shown.What is the resulting object when the rectangle is rotated around thehorizontal line segment?»BCD14940Page 12Go On

Session 1FSA Mathematics Practice Test Answer Key10. Triangle RTV is shown on the graph.y654R3V21–6 –5 –4 –3 –2 –1 0–1–2–3–41 2 3 4 5 6xT–5–6Triangle R’ T’ V’ is formed using the transformation (0.2x, 0.2y) centeredat (0, 0).Select the three equations that show the correct relationship between thetwo triangles based on the transformation.» RVB5R VR VRV260.2 26» 0.2 10 RTD RT0.2 R TE 0.2 T VTV» TVPage 1310 R TTV340.2 3415018Go On

Session 1FSA Mathematics Practice Test Answer KeyThis is the end of Session 1.Page 14

Session 2Page 15

Session 2FSA Mathematics Practice Test Answer Key2. Point A is located at5(–3, 6), point B is located at (n, q), and point C is located at (–3, –4).11. Points A, B, and C are collinear and AB:AC What are the values of n and q?n –3------ 666666777777788888889999999q 2------ 66666677777778888888999999915016Page 16Go On

Session 2FSA Mathematics Practice Test Answer Key12. Quadrilateral MATH is shown.y543M2–5 –4 –3 –2 –1 0–1–2HA1–3123 4 5xT–4–5Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1, 1) tocreate quadrilateral M’A’ T’H’.Select all the statements that are true about the dilation.A MAMA» A T will overlap AT .» M A will overlap MA .» The slope of HT is equal to the slope of H T .E The area of M’A’ T’H’ is equal to 2.5 times the area of MATH.15023Page 17Go On

Session 2FSA Mathematics Practice Test Answer Key13. One diagonal of square EFGH is shown on the coordinate grid.y86G42E–8 –6 –4–202468x–2–4–6–8Choose the correct option to fill in each blank below. For each blank, fillin the circle before the option that is correct.The location of point F could be [ A (–3, 4) » (–1, 6)C (1, –8)] because diagonals of a square are congruent and[ A have the same slope B bisect each other » are perpendicular].14975Page 18Go On

Session 2FSA Mathematics Practice Test Answer Key14. Polygon ABCDE is shown on the coordinate grid.yA54321–5 –4 –3 –2 –1 0–1E–2–3 D–4–5B1 2 3 4 5CxWhat is the perimeter, to the nearest hundredth of a unit, of polygonABCDE?2 0 . 31------ 66666677777778888888999999914977Page 19Go On

Session 2FSA Mathematics Practice Test Answer Key15. Ruben carries out a construction using Δ ABC . A sequence of diagramsshows a part of his construction.12345Page 20Go On

FSA Mathematics Practice Test Answer KeySession 2What will be the result of Ruben’s construction?A Ruben constructs a segment perpendicular to AC .B Ruben constructs the bisector of AC .C Ruben constructs an angle congruent to B.» Ruben constructs the bisector of B.15015Page 21Go On

Session 2FSA Mathematics Practice Test Answer Key16. As phosphate is mined, it moves along a conveyor belt, falling off of theend of the belt into the shape of a right circular cone, as shown.15.3 feet48.6 feetA shorter conveyor belt also has phosphate falling off of the end into theshape of a right circular cone. The height of the second pile of phosphateis 3.6 feet shorter than the height of the first. The volume of both piles isthe same.To the nearest tenth of a foot, what is the diameter of the second pileof phosphate?5 5 . 6------ 66666677777778888888999999914939Page 22Go On

Session 2FSA Mathematics Practice Test Answer Key17. Gabriel wrote a partial narrative proof to prove FDBD .AGiven: AD bisects EAC FDAProve: FDE BDABDCDFBThere are three blanks in the proof below. Choose the correct option tofill in each blank. For each blank, fill in the circle before the option thatis correct.It is given that AD bisects EAC , and FDA BDA . Since AD bisects EAC , then DAE DAC from the definition of angle bisector. AD ADby the reflexive property.Δ [ A DAE B DAC C DEF D CDF » DAF F DAB] is congruentto Δ [ A DAE B DAC C DEF D CDF E DAF » DAB] becauseof [ A SSS B SAS C AAS » ASA].Therefore, FD BD because corresponding parts of congruent trianglesare congruent.14986Other correct responses: option F, DAB; then option E, DAF; thenoption D, ASAPage 23Go On

Session 2FSA Mathematics Practice Test Answer Key18. The population of Florida in 2010 was 18,801,310 and the land area was53,625 square miles. The population increased 5.8% by 2014.A. To the nearest whole number, what is the population density, in peopleper square mile, for Florida in 2014?3 71------ 666666777777788888889999999B. To the nearest whole number, how much did the population density, inpeople per square mile, increase from 2010 to 2014?20------ 66666677777778888888999999914979Page 24Go On

Session 2FSA Mathematics Practice Test Answer Key19. The Leaning Tower of Pisa is 56.84 meters (m) long.yheightnot to scaleIn the 1990s, engineers restored the building so that angle y changedfrom 5.5 to 3.99 .To the nearest hundredth of a meter, how much did the restorationchange the height of the Leaning Tower of Pisa?0 . 12------ 666666777777788888889999999Page 2514988Go On

Session 2FSA Mathematics Practice Test Answer KeyThis is the end of Session 2.Page 26

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Office of AssessmentFlorida Department of Education, Tallahassee, FloridaCopyright 2015 State of Florida, Department of State

Session 1 FSA Mathematics Practice Test Answer Key 3. Triangle SRT is shown. Choose the correct equation or word to fill in each blank in the paragraph. For each blank, fill in the circle before the equation or word that is correct. The vertices of SRT

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