Course 3 Benchmark Test Third Quarter
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1 Course Benchmark Test Third Quarter 1. SHORT ANSWER Alfonso leans a 0-foot long ladder against a wall with the base of the ladder 6 feet from the wall. How far up the wall does the ladder reach? Round to the nearest tenth if necessar. about 19.1 ft. Which of the following figures show a 90 clockwise rotation of the figure shown below?. What is the sum of the measures of the interior angles of a pentagon? A. A. 900 B. 70 B. C. 50 D. 50. What is the distance between points A and B shown on the coordinate plane? F. units - - O A G. 10 units H. 1 units - - B C. D. I. 1 units Course Benchmark Test Third Quarter 7
2 5. If point H(-6, ) is translated units up and units right, what are the coordinates of the translated image? F. H'(-, 5) G. H'(-, 6) H. H'(-9, -) I. H'(-9, 6) 6. The dilation of CD is shown below. What is the scale factor of the dilation?. What is the measure of angle? A. 5 B. 90 C. 15 D. 5 1 C A. 1 B. 1 C. D. O C D D 7. Which of the following terms describes two lines that intersect to form right angles? F. parallel G. perpendicular H. skew I. straight 9. SHORT ANSWER Determine whether the following figure is a right triangle. Justif our answer. 1 mm 7 mm 5 mm Yes, the figure is a right triangle because the sides satisf the Pthagorean Theorem: = Point N(6, -5) is reflected across the -ais. What are the coordinates of the image? F. N'(-6, -5) G. N'(-5, 6) H. N'(5, -6) I. N'(6, 5) Course Benchmark Test Third Quarter
3 11. Parallel lines l and m are intersected b transversal t as shown below. Which of the following angles are not congruent? t 1. SHORT ANSWER Using the figure below, write a paragraph proof to show that m a = m b = 5. a A. 1 and B. and l m Sample answer: The triangle is isosceles, so m a = m b. The sum of the angles of a triangle is 10. So, a + b + 90 = 10, or a + b = 90. Since a = b, a + a = 90, or a = 5. So, m a = m b = 5. b C. and 6 D. and 1. What is the approimate distance between points W(-, 1) and Z(, 7)? Round to the nearest tenth. A. 10. units 1. Suppose triangle RST shown on the coordinate grid is reflected across the -ais. Which ordered pair does not represent a verte of the reflected triangle? R F. (5, 1) - G. (-, -) H. (, -) I. (-, ) - S O - T - B. 9. units C.. units D. 6.1 units 15. What is the value of n in the triangle below? F. 7 G. 51 H. 61 I. 7 n 7 7 Course Benchmark Test Third Quarter 9
4 16. What is the measure of an interior angle of a regular heagon? 19. What is the approimate length of NP with endpoints N(7, ) and P(-6, -)? Round to the nearest tenth. F. 5.7 units A. 10 B. 15 C. 70 D. 10 a G. 6.5 units H. 10. units I. 1.9 units 17. Which rotation best describes the transformation shown below? E D - F - O - - D E F F. 90 counterclockwise rotation G. 70 clockwise rotation H. 10 rotation I. 90 clockwise rotation 1. Which set of numbers could be the sides of a right triangle? A. 6,, 1 B., 15, 17 C., 1, 16 D. 9, 11, 1 0. SHORT ANSWER What is the length of the diagonal of a square with -foot sides? Round to the nearest tenth. 1. Which transformation does not result in an image congruent to the original figure? 11. ft A. translation B. rotation C. reflection D. dilation d 0 Course Benchmark Test Third Quarter
5 . What is the value of in the figure below? 105. The legs of a right triangle measure 7 units and units. What is the measure of the hpotenuse? Round to the nearest tenth if necessar. F. 17 units F. 75 G. 5 H. 105 I. 115 G. 0. units H..0 units I. 5 units 5. SHORT ANSWER Prove that triangle ABC is an isosceles triangle. 10 A. Mar enlarged a - b 6-inch photo to a 10- b 15-inch photo. What is the scale factor of the dilation? A. B..5 C. 6 D. 9 6 C B O 6 10 Sample answer: Using the distance formula, AB = 5 and AC = 5. Since AB = AC, the triangle is isosceles. Course Benchmark Test Third Quarter 1
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of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
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Name Period CHAPTER 9 Right Triangles and Trigonometry Section 9.1 Similar right Triangles Objectives: Solve problems involving similar right triangles. Use a geometric mean to solve problems. Ex. 1 Use