Standardized Test Prep

SAT/ACT

Use the diagram for Exercises 47 and 48.

47. For what value of x is c || d ? c vertical linevertical line d question mark

    

    1. 21
    2. 23
    3. 43
    4. 53
48. If c || d , c vertical linevertical line d comma  what is m ∠ 1 ? m angle 1 question mark
    6. 24
    7. 44
    8. 136
    9. 146
49. Which of the following is always a valid conclusion for the hypothesis? If two angles are congruent, then ? ¯ modified question mark with under bar below .
    1. they are right angles
    2. they share a vertex
    3. they have the same measure
    4. they are acute angles

50. What is the value of x in the diagram below?

    

    6. 1. 6 ¯ 1. , 6 bar
    7. 10
    8. 17
    9. 19

Short Response

51. Draw a pentagon. Is your pentagon convex or concave? Explain.

Mixed Review

See Lesson 3-2.

Find m ∠ 1 m angle 1  and m ∠ 2 . m angle 2 .  Justify each answer.

Get Ready! To prepare for Lesson 3-4, do Exercises 54–57.

See Lessons 1-6 and 3-1.

Determine whether each statement is always, sometimes, or never true.

54. Perpendicular lines meet at right angles.
55. Two lines in intersecting planes are perpendicular.
56. Two lines in the same plane are parallel.
57. Two lines in parallel planes are perpendicular.

Table of Contents