C Challenge

For Exercises 44 and 45, use the graph below.

44. Show that the diagonals of the figure are congruent.
45. Show that the diagonals of the figure are perpendicular bisectors of each other.
46. 1. Graph the points P(2, 2), Q(7, 4), and R(3, 5).
    2. Find the coordinates of a point S that, along with points P, Q, and R, will form the vertices of a quadrilateral with opposite sides parallel. Graph the quadrilateral.
    3. Repeat part (b) to find a different point S. Graph the new quadrilateral.
47. Algebra A triangle has vertices L ( − 5 , 6 ) , M ( − 2 , − 3 ) , l open negative 5 comma 6 close . comma m open negative 2 comma negative 3 close comma  and N(4, 5). Write an equation for the line perpendicular to L M ¯ l m bar  that contains point N.

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

48. Δ ABC cap delta  is right with right angle C. The slope of A C ¯ eh c bar  is − 2 . negative 2 .  What is the slope of B C ¯ ? b c bar , question mark

49. In the diagram below, M is the midpoint of A B ¯ . eh b bar , .  What is AB?

    

50. What is the distance between ( − 4 . 5 , 1 . 2 ) open negative 4 . 5 comma 1 . 2 close  and ( 3 . 5 , − 2 . 8 ) open 3 . 5 comma negative 2 . 8 close  to the nearest tenth?

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

    

52. The perimeter of a square is 20 ft. What is the area of the square in square feet?

Mixed Review

See Lesson 3-7.

Algebra Write an equation for the line containing the given points.

53. A(0, 3), B(6, 0)
54. C ( − 4 , 2 ) , D ( − 1 , 7 ) c . open negative 4 comma 2 close . comma d . open negative 1 comma 7 close
55. E ( 3 , − 2 ) , F ( − 5 , − 8 ) e open 3 comma negative 2 close . comma f open negative 5 comma negative 8 close

See Lesson 2-5.

Name the property that justifies each statement.

56. ∠ 4 ≅ ∠ 4 angle 4 approximately equal to angle 4
57. If m ∠ B = 8 , m angle , b equals 8 comma  then 2 m ∠ B = 16 . 2 m angle . b equals 16 .
58. − 3 x + 6 = 3 ( − x + 2 ) negative , 3 x plus . 6 equals 3 , open negative , x plus 2 close
59. If R S ¯ ≅ M N ¯ , r s bar , approximately equal to . m n bar , comma  then M N ¯ ≅ R S ¯ . m n bar , approximately equal to . r s bar , .

Get Ready! To prepare for Lesson 4-1, do Exercises 60–62.

See Lessons 1-5 and 2-6.

Are ∠ 1 angle 1  and ∠ 2 angle 2  congruent? Explain.

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