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Dilations and Similarity (Review)

Quiz by Jill

Grade 9-12
Math
New Jersey Student Learning Standards

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10 questions
Show answers
  • Q1
    A triangle has side lengths of 5in, 8in, and 12in. If a factor of 4 is applied, what are the side lengths of the image?
    1in, 4in, 8in
    9in, 12in, 16in
    1.2in, 2in, 3in
    20in, 32in, 48in
    30s
    G-SRT.A.1
  • Q2
    What scale factor was applied to dilate triangle ABC about the origin to create triangle A'B'C'?
    Question Image
    1/2
    2
    4
    3
    30s
    G-SRT.A.1.b
  • Q3
    Which of the following is not true about the dilation pictured?
    Question Image
    A'D' = .5(AD)
    A factor of 2 was applied and the figure was dilated about (0,0)
    A factor of .5 was applied and the figure was dilated about (0,0)
    BC // B'C'
    30s
  • Q4
    What is the center point of this dilation? How can you tell?
    Question Image
    Point D, because it is at the origin of the graph.
    Point D, because D and D' are in the same spot. They're both at (0,0).
    Point C, because it is on the x-axis.
    Point B', because it is in line with the origin of the graph.
    30s
    G-SRT.A.1.b
  • Q5
    Triangle PRQ was dilated about (0,0) by a factor of 3. Which of the following is not a true statement.
    Question Image
    You can tell the scale factor is 3, because RQ*3 = R'Q'.
    You can tell the center is (0,0), because the slope from (0,0) to P is 3 and the slope from (0,0) to P' is 9/3 = 3. AKA P and P' are on the same line!
    You can tell (0,0) is the center, because (0,0) to R is the same distance as (0,0) to R'.
    You can tell the scale factor is 3, because from (0,0) to Q' is triple the distance from (0,0) to Q.
    30s
    G-SRT.A.1.b
  • Q6
    Which lengths below would not be a dilation of a triangle with lengths 6, 10, 12?
    10, 14, 16
    3, 5, 6
    9, 15, 18
    60, 100, 120
    30s
    G-SRT.A.1.b
  • Q7
    (9 , -2) was dilated by a factor of 1/3 about the origin. Which of the following is the coordinates of its image?
    (27 , -6)
    (3 , -2/3)
    (-3 , 2/3)
    (6 , -2)
    30s
    G-SRT.A.1.b
  • Q8
    AB = 72 and A'B' = 24. Which of the following is a ratio of A'B':AB?
    1:3
    2:3
    1:4
    1:6
    30s
    G-SRT.A.1.b
  • Q9
    Which of the following is NOT true?
    Question Image
    CB:AB is 3:4
    AC:CB is 3:4
    AC = 1/4(AB)
    4(AC) = AB
    30s
  • Q10
    (-3 , 7) was dilated about the origin to create (-18 , 42). What scale factor was used?
    -6
    3
    6
    1/6
    30s
    G-SRT.A.1.b

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