Standardized Test Prep

SAT/ACT

54. What is the image of ( 1 , − 6 ) open 1 comma negative 6 close  for a 90 ° 90 degrees  counterclockwise rotation about the origin?
    1. (6, 1)
    2. ( − 1 , 6 ) open negative 1 comma 6 close
    3. ( − 6 , − 1 ) open negative 6 comma negative 1 close
    4. ( − 1 , − 6 ) open negative 1 comma negative 6 close

55. The costume crew for your school musical makes aprons like the one shown. If blue ribbon costs $ 1.50 dollars , 1.50  per foot, what is the cost of ribbon for six aprons?

    
    Image Long Description

    6. $15.75
    7. $31.50
    8. $42.00
    9. $63.00
56. In Δ A B C , m ∠ A + m ∠ B = 84 . cap delta eh b c comma m angle eh plus m angle b equals 84 .  Which statement must be true?
    1. B C > A C b c , greater than eh c
    2. A C > B C eh c , greater than b c
    3. A B > B C eh b , greater than b c
    4. B C > A B b c , greater than eh b

Short Response

57. Use the following statement: If two lines are parallel, then the lines do not intersect.
    1. What are the converse, inverse, and contrapositive of the statement?
    2. What is the truth value of each statement you wrote in part (a)? If a statement is false, give a counterexample.

Mixed Review

Δ B I G cap delta b i g  has vertices B ( − 4 , 2 ) , I ( 0 , − 3 ) , and  G ( 1 , 0 ) . b open negative 4 comma 2 close comma i open 0 comma negative 3 close comma , and g open 1 comma 0 close .  Graph Δ B I G cap delta b i g  and its reflection image across the given line.

See Lesson 9-2.

58. the y-axis
59. the x-axis
60. x = 4 x equals 4

See Lessons 8-2 and 8-3.

Find the value of x. Round answers to the nearest tenth.

Get Ready! To prepare for Lesson 9-4, do Exercises 63–66.

See Lessons 9-2 and 9-3.

Point O is the center of the regular octagon. Find the image of the given point or segment for the given rotation or reflection.

63. point A; a 90 ° 90 degrees  rotation about center O
64. point H; a 180 ° 180 degrees  rotation about center O
65. A B ¯ ; eh b bar , semicolon  a reflection across A E ↔ modified eh e with left right arrow above
66. G H ¯ ; g h bar , semicolon  a reflection across A E ↔ modified eh e with left right arrow above

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