42. List steps (like those in Exercise 41) that suggest a way to tessellate with any scalene triangle. Then list a second set of steps that suggest another way.

Copy the Venn diagram. Write each exercise number in the correct region of the diagram.

43. scalene triangle
44. obtuse triangle
45. kite
46. equilateral Δ cap delta
47. regular decagon
48. square
49. regular hexagon
50. regular octagon
51. rhombus
52. isosceles Δ cap delta

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

53. What is the maximum number of sides less than 10 that a regular polygon can have and still tessellate a plane?

54. To the nearest hundredth, what is the value of x in the diagram below?

    

55. In Δ F G H cap delta f g h  and Δ X Y Z , ∠ G cap delta x y z comma angle g  and ∠ Y angle y  are right angles. F H ¯ ≅ X Z ¯ f h bar , approximately equal to , x z bar  and G H ¯ ≅ Y Z ¯ . g h bar , approximately equal to , y z bar , .  If G H = 7  ft g h equals 7 ft  and X Y = 9  ft , x y equals 9 ft comma  what is the area of Δ F G H cap delta f g h  in square inches?
56. Δ A C B cap delta eh c b  is isosceles with base A B ¯ . eh b bar , .  Point D is on A B ¯ eh b bar  and C D ¯ c d bar  is the bisector of ∠ C . angle c .  If C D = 5  in . c d equals 5 in .  and D B = 4  in ., d b equals 4 in , .comma  what is BC to the nearest tenth of an inch?
57. Two angle measures of Δ J K L cap delta j k l  are 30 and 60. The shortest side measures 10 cm. What is the length, in centimeters, of the longest side of the triangle?

Mixed Review

See Lesson 9-6.

58. A triangle has vertices A(3, 2), B(4, 1), and C(4, 3). Find the coordinates of the images of A, B, and C for a glide reflection with translation ( x , y ) → ( x , y + 1 ) open x comma y close rightwards arrow open x comma y plus 1 close  and reflection line x = 0 . x equals 0 .

See Lesson 5-6.

The lengths of two sides of a triangle are given. What are the possible lengths for the third side?

59. 16 in., 26 in.
60. 19.5 ft, 20.5 ft
61. 9 m, 9 m
62. 4 1 2 yd , 8  yd 4 , and 1 half , yd comma 8 yd

Get Ready! To prepare for Lesson 10-1, do Exercises 63–66.

See Lesson 1-8.

Find the area of each figure.

63. a square with 5-cm sides
64. a rectangle with base 4 in. and height 7 in.
65. a 4.6 m-by-2.5 m rectangle
66. a rectangle with length 3 ft and width 1 2 ft 1 half , ft

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