# H. Math 2 Benchmark 1 Review

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1 H. Math 2 enchmark 1 Review Name: ate: 1. Parallelogram C was translated to parallelogram C. 2. Which of the following is a model of a scalene triangle?.. How many units and in which direction were the x-coordinates of parallelogram C moved?. 3 units to the right. 3 units to the left C. C. 7 units to the right. 7 units to the left. 3. What kind of a triangle always has 3 acute angles and 3 sides the same length?. isosceles. right C. equilateral. scalene page 1

2 4. Figure C is an isosceles triangle with base C. 7. In the figure below, quadrilateral CE is similar to quadrilateral GF. What is the length of F? Which is a true statement about C?. =. C. C = C = C. C =. 6.0 inches. 6.4 inches C inches inches 5. Which of the following sets of numbers could represent the lengths of the sides of a triangle?. 2, 2, 5. 3, 3, 5 C. 4, 4, 8. 5, 5, Quadrilateral FGHI is similar to quadrilateral PQRS. Which of the following statements is true?. I = Q. G = S C. P = G. H = R page 2 H. Math 2 enchmark 1 Review

3 8. Use the diagram below to answer the following question. 9. Juanita performed a 50% dilation on figure KLMN as shown below. Which of the following rectangles is similar to rectangle EFG?. What is the relationship between the length of K L and KL?. The length of K L is half the length of KL.. The length of K L is twice the length of KL.. C. The length of K L is the same as the length of KL.. The length of K L cannot be compared to the length of KL. C C is a trapezoid with median EF. What is the length of?. 5 units. 7 units C. 9 units. 10 units page 3 H. Math 2 enchmark 1 Review

4 11. Look at this diagram. 13. Use the figure below to answer the following question. Trapezoid C is similar to trapezoid JKLM. What is the measure of K? C In this figure, and E are midpoints of the sides of triangle C. The perimeter of triangle E is 18 centimeters. What is the perimeter of triangle C?. 27 centimeters. 36 centimeters C. 54 centimeters. 72 centimeters 12. What is the length of WX? Show or explain how you got your answer. 14. Use the triangles to answer the question. Triangles C and E are similar. Line segment E bisects segment. What is the length of segment E?. 2 units. 3 units C. 4 units. 6 units page 4 H. Math 2 enchmark 1 Review

5 15. In the figure below, HIJ = LKJ. 17. In the diagram below, HJK LMK. ased on the dimensions in the diagram, what is the length of JK? If m L = 50, what is m IJH?. 3 in.. 4 in. C. 5 in.. 6 in C Use the figure below to answer the following question. 16. In the figure below, intersect at point T. PQ SR, and PR and QS ased on the angle measures in the figure, what is the measure of STR? C Line segments and C bisect each other at E. The measure of CE = 80 and m E = 60. my says that m CE = 20, rent says that it is 30, Carlos says that it is 40, and ebra says it that is 50. Which student is correct?. my. rent C. Carlos. ebra page 5 H. Math 2 enchmark 1 Review

6 19. Which is a pair of corresponding angles?. C and FE. C and EF C. C and EF page 6 H. Math 2 enchmark 1 Review

7 20. Which figure shows the triangle below reflected over the x-axis, then reflected over the y-axis?.. C.. page 7 H. Math 2 enchmark 1 Review

8 21. Triangle RST is shown in the coordinate plane. 23. If trapezoid KLMN shown below is reflected across the x-axis to form trapezoid K L M N, what are the apparent coordinates of M? What are the coordinates of R S T if the figure is reflected over the x-axis and translated down two units?. (1, 6), (1, 9), (6, 9). ( 4, 5). ( 4, 5) C. (4, 5). (4, 5). (3, 4), (3, 7), (8, 7) C. (1, 2), (1, 5), (6, 5). (3, 2), (3, 5), (8, 5) 22. Which of the following transformations always preserves the dimensions of a figure? I. translation II. rotation III. reflection IV. dilation. I, II, and III. I, II, and IV C. I, III, and IV. II, III, and IV page 8 H. Math 2 enchmark 1 Review

9 24. Triangle PQR is shown. 25. If triangle C is rotated 180 degrees about the origin, what are the coordinates of? What are the coordinates of P when PQR is dilated by a scale factor of 3 using the origin as the center?. ( 5, 4). ( 5, 4). (6, 18). ( 3, 2 ) 3 C. ( 4, 5). ( 4, 5) C. ( ) 2 3, 3. (18, 6) page 9 H. Math 2 enchmark 1 Review

10 26. Trapezoid C below is to be translated to trapezoid C by the following motion rule. 27. Which theorem of congruence should be used to prove QRS = TUV? (x, y) (x + 3, y 4). ngle-side-ngle (S). ngle-ngle-side (S) C. Side-ngle-Side (SS) What will be the coordinates of vertex C?. Side-Side-Side (SSS). (1, 3). (2, 1) C. (6, 1). (8, 3) 28. Which principle of congruence could be used to prove triangle RST is congruent to triangle XYZ?. Side-Side-Side (SSS). Side-ngle-Side (SS) C. ngle-side-ngle (S). Side-Side-ngle (SS) page 10 H. Math 2 enchmark 1 Review

11 29. In the diagram below P = PK and P = PJ. 31. Which method listed below would not be used to prove that two triangles are congruent?. Prove all three sets of corresponding sides congruent.. Prove all three sets of corresponding angles congruent. What additional information is sufficient to prove P = JPK by side-angle-side (SS)?. = K. = J C. Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle.. Prove that two angles and an included side of one triangle are congruent to two angles and an included side of the other triangle. C. 1 = K. 1 = In the diagram below, RT intersects QU at point S. 32. Given: and C intersect at point E; 1 = 2 Which postulate should be used to prove that RQS = TUS?. Side Side Side. ngle Side ngle C. ngle Side Side. Side ngle Side Which theorem or postulate can be used to prove E EC?.. SSS C. S. SS page 11 H. Math 2 enchmark 1 Review

12 33. In the figure below, intersects C at point. 36. right triangle is shown below. ased on the measures in the triangle, what is x? What is the measure of? C C In the diagram shown, what is the measure of C? 34. What is the value of x in the figure below? C x = 18. x = 22 C. x = 30. x = M is the midpoint of RS, RM = (3x + 1), and MS = (4x 2). What is RS? 35. If = = C and the measure of is twice the measure of C, what is the measure of C? C ngles T and V are complementary. ngle T has a measure of (2x + 10). ngle V has a measure of 48. What is the value of x? C C page 12 H. Math 2 enchmark 1 Review

13 40. Which of the following could be used to determine P, the perimeter of the triangle shown below? 42. Look at MN on the coordinate plane.. P = 6y + 4. P = 5y 4 C. P = 6y 4. P = 5y + 4 What is the distance between the endpoints of MN?. 5 units. 6 units C. 8 units. 10 units 43. What is the distance between the points (4, 2) and ( 5, 3)?. = 106. = 28 C. = 26. = Coordinates ( 2, 4) and ( 4, 1) lie on a coordinate plane. What is the midpoint of line segment? Using the figures above, find the value of x and the value of y.. x = 10 and y = 10. x = 10 and y = 20. C. ( ) 5 2, 3 ( 3, 5 ) 2.. ( 52, 3 ) ( 3, 5 ) 2 C. x = 40 and y = 20. x = 40 and y = Which is a factor of x 2 11x + 24?. x + 3. x 3 C. x + 4. x 4 page 13 H. Math 2 enchmark 1 Review

14 46. What are the solutions for the quadratic equation x 2 8x = 9?. 3. 3, 3 C. 1, 9. 1, Which of these shows the following expression factored completely? 6x x 36. (2x 3)(x + 4). (6x + 9)(x 4) C. 3(2x 3)(x + 4). 3(2x + 3)(x 4) 47. Which expression shows the complete factorization of 12x 2 147?. (3x 7)(4x + 2). (4x 21)(3x + 7) C. 12(x 7)(x + 7). 3(2x 7)(2x + 7) 52. Which shows the polynomial 8x x + 8 completely factored?. (4x + 4) 2. (4x + 4)(2x + 2) 48. Which of the following is one of the factors of the expression below? C. 8(x + 1) 2. 8(x + 1)(x 1) 4x (4x 5). (2x + 1) C. (4x 1). (2x 5) 53. What is the factored form of the expression below? 5x x 6. (5x + 1)(x 6). (5x 2)(x + 3) 49. What is the factored form of the expression below? C. (5x + 2)(x 3). (5x 1)(x + 6) x (x 4)(x + 4). (x 8)(x + 8) C. (x 4)(x 4). (x 8)(x 8) 54. In the figure below, UR is the midsegment of trapezoid PQST. 50. Which of the following shows the expression below in factored form? x 2 + 2x 8. (x 2)(x + 4). (x + 2)(x + 4) C. (x 1)(x + 8). (x + 1)(x 8) Note: The figure is not drawn to scale. What is the value of x? C page 14 H. Math 2 enchmark 1 Review

15 Problem-ttic format version c Educide Software Licensed for use by Jodi Johnson Terms of Use at H. Math 2 enchmark 1 Review 09/19/ C 23. C C C m C

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