40. Technology Your classmate constructs an angle. Then he constructs a ray from the vertex of the angle to a point in the interior of the angle. He measures all the angles formed. Then he moves the interior ray as shown below. What postulate do the two pictures support?

    

Standardized Test Prep

SAT/ACT

41. Which diagram shows the figure you can fold from the net below?

    

    1. 
    2. 
    3. 
    4. 
42. X Y ¯ x y bar  has endpoints X = − 72 x equals negative 72  and Y = 43 . y equals 43 .  What is XY?
    6. − 115 negative 115
    7. − 29 negative 29
    8. 29
    9. 115

Short Response

43. Use the figure below.

    

    1. What is the value of x?
    2. What is AC?

Mixed Review

See Lesson 1-3.

Use the figure below.

44. If E G = 75 e g equals 75  and E F = 28 , e f equals 28 comma  what is FG?
45. If E G = 49 , E F = 2 x + 3 , e g equals 49 comma e f equals 2 x plus 3 comma  and F G = 4 x − 2 , f g equals 4 x minus 2 comma  find x. Then find EF and FG.

Get Ready! To prepare for Lesson 1-5, do Exercises 46–49.

See p. 834.

Algebra Write and solve an equation to find the number(s).

46. Twice a number added to 4 is 28.
47. A number subtracted from 90 is three times that number.
48. The sum of two numbers is 180. One number is 5 times the other.

See Lesson 1-4.

49. If m ∠ WXZ = 180 m angle  and m ∠ ZXY = 115 , m angle  what is the measure of ∠ WXY ? angle

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