36. Proof Prove the Side-Side-Side Similarity Theorem (Theorem 7-2).
    

    

    Given: A B Q R = A C Q S = B C R S fraction eh b , over q r end fraction . equals . fraction eh c , over q s end fraction . equals . fraction b c , over r s end fraction

    Prove: △ A B C ∼ △ Q R S white up pointing triangle eh b c , tilde operator white up pointing triangle q r s

Standardized Test Prep

SAT/ACT

37. Complete the statement △ A B C ∼ _ ? _ . white up pointing triangle eh b c , tilde operator . modified under bar with  By which postulate or theorem are the triangles similar?

    

    1. △ A K N ;  SSS ∼ white up pointing triangle eh k n semicolon . cap scap scap s , tilde operator
    2. △ A K N ;  SAS ∼ white up pointing triangle eh k n semicolon . cap scap acap s , tilde operator
    3. △ A N K ;  SAS ∼ white up pointing triangle eh n k semicolon . cap scap acap s , tilde operator
    4. △ A N K ;  AA ∼ white up pointing triangle eh n k semicolon . cap acap a tilde operator
38. ∠ 1 angle 1  and ∠ 2 angle 2  are alternate interior angles formed by two parallel lines and a transversal. If m ∠ 2 = 68 , m angle , 2 equals 68 , comma  what is m ∠ 1 ? m angle 1 question mark
    6. 22
    7. 68
    8. 112
    9. 122
39. The length of a rectangle is twice its width. If the perimeter of the rectangle is 72 in., what is the length of the rectangle?
    1. 12 in.
    2. 18 in.
    3. 24 in.
    4. 36 in.

Extended Response

40. Graph A(2, 4), B(4, 6), C(6, 4), and D(4, 2). What type of polygon is ABCD? Justify your answer.

Mixed Review

See Lesson 7-2.

TRAP ∼ tilde operator   EZYD. Use the diagram below to find the following.

41. the scale factor of TRAP to EZYD
42. m ∠ R m angle r
43. DY
44. D E P T fraction d e , over p t end fraction

See Lesson 1-4.

Use a protractor to find the measure of each angle. Classify the angle as acute, right, obtuse, or straight.

Get Ready! To prepare for Lesson 7-4, do Exercises 49–52.

See Lesson 7-1.

Algebra Identify the means and extremes of each proportion. Then solve for x.

49. x 8 = 18 24 x over 8 , equals , 18 over 24
50. 12 m = 18 20 12 over m , equals , 18 over 20
51. 15 x + 2 = 9 x fraction 15 , over x plus 2 end fraction . equals , 9 over x
52. x − 3 x + 4 = 5 9 fraction x minus 3 , over x plus 4 end fraction . equals , 5 ninths

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