# Geometry FSA Mathematics Practice Test Answer Key

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1 Geometry FSA Mathematics Practice Test Answer Key The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials, students will become familiar with the types of items and response formats they may see on a paper-based test. The practice questions and answers are not intended to demonstrate the length of the actual test, nor should student responses be used as an indicator of student performance on the actual test. The practice test is not intended to guide classroom instruction.

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

3 Page 3 Session 1

4 Session 1 FSA Mathematics Practice Test Answer Key 1. Match each building with the geometric shapes that can be used to model it. Cone Cylinder Pyramid Rectangular Prism A» B» C D E F» G H» I» J» K» L» Page 4

5 FSA Mathematics Practice Test Answer Key Session 1 2. In the diagram shown, chords AB and CD intersect at E. The measure of AC is 120, the measure of DB is (2x), and the measure of AEC is (4x). A D 120 (4x) E (2x) B C What is the degree measure of AED? ````` aaaaaaa Page 5

6 Session 1 FSA Mathematics Practice Test Answer Key 3. Triangle SRT is shown. 10 y S 4 3 T 2 R x 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 ΔSRT are S (1, 4), R (2, 2) and T (1, 3). A reflection across the 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 + 10 D y = x + 12] is the same as a translation of 4 units to the right and 4 units up because the lines are [ A congruent» parallel C perpendicular D similar] Page 6

7 FSA Mathematics Practice Test Answer Key Session 1 4. Johnny wants to find the equation of a circle with center (3, 4) and a radius 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 Argument Let (x, y) be any point on the circle. Then, the horizontal distance from (x, y) to the center is. A» x 3 B x + 3 C x 4 D x + 4 The vertical distance from (x, y) to the center is. A y 3 B y + 3 C y 4 D» 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 the relationship between the horizontal, vertical, and total distance of (x, y) to the center of the circle. A perimeter formula B» Pythagorean Theorem C quadratic formula Page 7

8 Session 1 FSA Mathematics Practice Test Answer Key 5. Regular pentagon EFGHI with center K is shown. H I K E G F Select all the transformations that carry pentagon EFGHI onto itself.» a reflection across line EK, a 180 counterclockwise rotation about point K, and a reflection across a vertical line through point K B a 90 counterclockwise rotation about point E, a reflection across line FG, and a vertical translation C 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 clockwise rotation about point K, and a reflection across line EK E a 180 clockwise rotation about point E, a reflection across a vertical line through point E, and a reflection across a horizontal line through point E Page 8

9 FSA Mathematics Practice Test Answer Key Session 1 6. Alejandro cut a circle with circumference C and radius r into 8 congruent sectors and used them to make the figure shown. Height Alejandro noticed that the figure was very close to the shape of a parallelogram. Select all the statements that apply to the figure A The height of the parallelogram is approximately equal to the circle s diameter. 1» The area of the parallelogram is approximately Cr. 2 C The length of the parallelogram is approximately equal to the circle s circumference.» The radius of the circle is approximately equal to the height of the parallelogram.» The area of the parallelogram is approximately 45 8 r Page 9

10 Session 1 FSA Mathematics Practice Test Answer Key 7. Evelyn is designing a pattern for a quilt using polygon EQFRGSHP shown. y E 4 P Q 2 F H S R 4 x 6 G 8 10 Evelyn transforms EQFRGSHP so that the image of E is at (2, 0) and the image of R is at (6, 7). Which transformation could Evelyn have used to show EQFRGSHP and its image 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) Page 10

11 FSA Mathematics Practice Test Answer Key Session 1 8. Katherine uses Δ ABC, where DE AC to prove that a line parallel to one side of a triangle divides the other two sides proportionally. A part of her proof is shown. B D E A C Statements Reasons 1. DE AC 1. Given 2. BDE BAC and BED BCA Δ BAC Δ BDE BA BD BC BE BA BD DA BC BE EC Segment addition postulate Subtraction property of equality Which statement completes step 8 of the proof? A BA BD = DA and BC BE = EC B AD = BD and CE = BE C» BA BC DA BD DA EC EC BE Page 11

12 Session 1 FSA Mathematics Practice Test Answer Key 9. A rectangle and a horizontal line segment are shown. What is the resulting object when the rectangle is rotated around the horizontal line segment?» B C D Page 12

13 FSA Mathematics Practice Test Answer Key Session Triangle RTV is shown on the graph. y V T R x Triangle R T V is formed using the transformation (0.2x, 0.2y) centered at (0, 0). Select the three equations that show the correct relationship between the two triangles based on the transformation.» RV 5 R V B» D E R V 26 RV RT 10R T RT 0.2R T 0.2 T V T V» Page 13 T V T V

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

15 Page 15 Session 2

16 Session 2 FSA Mathematics Practice Test Answer Key Points A, B, and C are collinear and AB:AC =. Point A is located at 5 ( 3, 6), point B is located at (n, q), and point C is located at ( 3, 4). What are the values of n and q? n = 3 q = ````` aaaaaaa ````` aaaaaaa Page 16

17 FSA Mathematics Practice Test Answer Key Session Quadrilateral MATH is shown. y M 2 1 A T H x Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1, 1) to create quadrilateral M A T H. Select all the statements that are true about the dilation. A MA M A» AT will overlap AT.» MA will overlap MA.» The slope of HT is equal to the slope of HT. E The area of M A T H is equal to 2.5 times the area of MATH Page 17

18 Session 2 FSA Mathematics Practice Test Answer Key 13. One diagonal of square EFGH is shown on the coordinate grid. 8 y 6 4 G E x Choose the correct option to fill in each blank below. For each blank, fill in 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] Page 18

19 FSA Mathematics Practice Test Answer Key Session Polygon ABCDE is shown on the coordinate grid. y A B C 2 E D x What is the perimeter, to the nearest hundredth of a unit, of polygon ABCDE? ````` aaaaaaa Page 19

20 Session 2 FSA Mathematics Practice Test Answer Key 15. Ruben carries out a construction using Δ ABC. A sequence of diagrams shows a part of his construction Page 20

21 FSA Mathematics Practice Test Answer Key Session 2 What 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 Page 21

22 Session 2 FSA Mathematics Practice Test Answer Key 16. As phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into the shape of a right circular cone, as shown feet 48.6 feet A shorter conveyor belt also has phosphate falling off of the end into the shape of a right circular cone. The height of the second pile of phosphate is 3.6 feet shorter than the height of the first. The volume of both piles is the same. To the nearest tenth of a foot, what is the diameter of the second pile of phosphate? ````` aaaaaaa Page 22

23 FSA Mathematics Practice Test Answer Key Session Gabriel wrote a partial narrative proof to prove FD BD. A Given: AD bisects EAC FDA BDA E C Prove: FD BD D F B There are three blanks in the proof below. Choose the correct option to fill in each blank. For each blank, fill in the circle before the option that is 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 AD by the reflexive property. Δ [ A DAE B DAC C DEF D CDF» DAF F DAB] is congruent to Δ [ A DAE B DAC C DEF D CDF E DAF» DAB] because of [ A SSS B SAS C AAS» ASA]. Therefore, FD are congruent. BD because corresponding parts of congruent triangles Other correct responses: option F, DAB; then option E, DAF; then option D, ASA Page 23

24 Session 2 FSA Mathematics Practice Test Answer Key 18. The population of Florida in 2010 was 18,801,310 and the land area was 53,625 square miles. The population increased 5.8% by A. To the nearest whole number, what is the population density, in people per square mile, for Florida in 2014? ````` aaaaaaa B. To the nearest whole number, how much did the population density, in people per square mile, increase from 2010 to 2014? ````` aaaaaaa Page 24

25 FSA Mathematics Practice Test Answer Key Session The Leaning Tower of Pisa is meters (m) long. y height not to scale In the 1990s, engineers restored the building so that angle y changed from 5.5 to To the nearest hundredth of a meter, how much did the restoration change the height of the Leaning Tower of Pisa? ````` aaaaaaa Page 25

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

27 Page 27 BLANK PAGE

28 Office of Assessment Florida Department of Education, Tallahassee, Florida Copyright 2015 State of Florida, Department of State

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