C Challenge

Use the figure below for Exercises 46 and 47.

46. Do planes A and B have other lines in common that are parallel to C D ↔ ? modified c d with left right arrow above , question mark  Explain.
47. Visualization Are there planes that intersect planes A and B in lines parallel to C D ↔ ? modified c d with left right arrow above , question mark  Draw a sketch to support your answer.
48. Draw a Diagram A transversal r intersects lines l and m. If l and r form ∠ 1 angle 1  and ∠ 2 angle 2  and m and r form ∠ 3 angle 3  and ∠ 4 , angle 4 comma  sketch a diagram that meets the following conditions.
    • ∠ 1 ≅ ∠ 2 angle 1 approximately equal to angle 2
    • ∠ 3 angle 3  is an interior angle.
    • ∠ 4 angle 4  is an exterior angle.
    • ∠ 3 angle 3  and ∠ 4 angle 4  are supplementary.
    • ∠ 2 angle 2  and ∠ 4 angle 4  lie on opposite sides of r.

Standardized Test Prep

SAT/ACT

49. How many pairs of parallel planes does a cereal box have?
    1. 2
    2. 3
    3. 4
    4. 6
50. What are the coordinates of the midpoint of A B ¯ eh b bar  for A ( − 2 , 8 ) eh open negative 2 comma 8 close  and B ( − 4 , 4 ) ? b open negative 4 comma 4 close question mark
    6. ( − 6 , 12 ) open negative 6 comma 12 close
    7. ( − 3 , 6 ) open negative 3 comma 6 close
    8. (1, 2)
    9. (1, 6)
51. Which of the following is NOT the net of a cube?
    1. 
    2. 
    3. 
    4. 

Short Response

52. Construct M N ¯ m n bar  congruent to X Y ¯ . x y bar , .

    

Mixed Review

See Lesson 2-6.

If m ∠ YDF = 121 m angle  and D R → d r vector  bisects ∠ FDI , angle  find the measure of each angle.

53. ∠ IDA angle
54. ∠ YDA angle
55. ∠ RDI angle

See Lesson 2-1.

56. What are the next two terms in the sequence 1 , − 2 , 4 , − 8 , … ? 1 comma negative 2 comma 4 comma negative 8 comma dot dot dot question mark

Get Ready! To prepare for Lesson 3-2, do Exercises 57–60.

See Lesson 3-1.

Classify each pair of angles.

57. ∠ 4 angle 4  and ∠ 2 angle 2
58. ∠ 6 angle 6  and ∠ 3 angle 3
59. ∠ 4 angle 4  and ∠ 5 angle 5
60. ∠ 6 angle 6  and ∠ 7 angle 7

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