49. In rectangle B C E G , B C : C E = 2 : 3 . b c e g comma b c colon c e , equals 2 , colon 3 .  In rectangle LJAW, LJ : J A = 2 : 3 . j eh , equals 2 , colon 3 .  Show that B C E G ∼ L J A W . b c e g tilde operator l j eh w .
50. Prove the following statement: If △ A B C ∼ △ D E F white up pointing triangle eh b c , tilde operator white up pointing triangle d e f  and △ D E F ∼ △ G H K , white up pointing triangle d e f , tilde operator white up pointing triangle g h k comma  then △ A B C ∼ △ G H K . white up pointing triangle eh b c , tilde operator white up pointing triangle g h k .

Standardized Test Prep

SAT/ACT

51. P Q R S ∼ J K L M p q r s tilde operator j k l m  with a scale factor of 4 : 3. Q R = 8  cm  . q r , equals 8 , cm , .  What is the value of KL?
    1. 6 cm
    2. 8 cm
    3. 10 2 3 10 , and 2 thirds  cm
    4. 24 cm
52. Which of the following is NOT a property of an isosceles trapezoid?
    6. The base angles are congruent.
    7. The legs are congruent.
    8. The diagonals are perpendicular.
    9. The diagonals are congruent.
53. In the diagram below, what is m ∠ 1 ? m angle 1 question mark

    

    1. 45
    2. 75
    3. 125
    4. 135

Short Response

54. A high school community-action club plans to build a circular play area in a city park. The club members need to buy materials to enclose the area and sand to fill the area. For a 9-ft-diameter play area, what will be the circumference and area rounded to the nearest hundredth?

Mixed Review

See Lesson 7-1.

If x 7 = y 9 , x over 7 , equals , y over 9 , comma  complete each statement using the properties of proportions.

55. 9 x = □ 9 x equals white square
56. x y = □ □ x over y , equals , fraction white square , over white square end fraction
57. x + 7 7 = □ □ fraction x plus 7 , over 7 end fraction . equals , fraction white square , over white square end fraction

See Lesson 4-5.

Use the diagram for Exercises 58–61.

58. Name the isosceles triangles in the figure.
59. C D ¯ ≅ _ ? _ ≅ _ ? _ c d bar , approximately equal to , modified under bar with
60. A E = _ ? _ eh e equals , modified under bar with
61. m ∠ A = _ ? _ m angle , eh equals . modified under bar with

Get Ready! To prepare for Lesson 7-3, do Exercises 62–64.

See Lessons 4-2 and 4-3.

How can you prove that the triangles are congruent?

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