Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 10:Transformations and Similarity; Mixed Review


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Selected Response

  • Question 1 (request help)

    A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2, –2). What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5?

    • (9, 6), (3, 6), (9, –3), (3, –3)
    • (3, 2), (1, 2), (3, –1), (1, –1)
    • (12, 8), (4, 8), (12, –4), (4, –4)
    • (15, 10), (5, 10), (15, –5), (5, –5)
  • Question 2 (request help)

    Which represents the dilation shown where the black figure is the preimage?

    • (x, y) -> (1.5x, 1.5y)
    • (x, y) -> (2.5x, 2.5y)
    • (x, y) -> (3x, 3y)
    • (x, y) -> (6x, 6y)
  • Question 3 (request help)

    Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3.

    • (x, y) -> (-x, y); (x, y) -> (3x, 3y)
    • (x, y) -> (-x, y); (x, y) -> (x, 3y)
    • (x, y) -> (x, -y); (x, y) -> (3x, y)
    • (x, y) -> (x, -y); (x, y) -> (3x, 3y)
  • Question 4 (request help)

    Solve \(-\text{a} + 7 = 2\text{a} - 8\).

    • a = -3
    • \(a = -\large\frac{1}{3}\)
    • a = 5
    • a = 15
  • Question 5 (request help)

    Which equation does not represent a line with an x-intercept of 3?

    • \( y = -2x + 6\)
    • \( y = -\cfrac{1}{3} x + 1\)
    • \(y = \cfrac{2}{3}x - 2\)
    • \(y = 3x - 1\)

Mini-Task

  • Question 6 (request help)

    The square is dilated under the dilation (x, y) → (0.25x, 0.25y).

    a. Graph the image. What are the coordinates?

  • Type below:
  • Question 6 (request help)

    b. What is the length of a side of the image?

  •     units
  • Question 6 (request help)

    c. What are the perimeter and area of the preimage?

  • Perimeter =    units
    Area =    square units
  • Question 6 (request help)

    d. What are the perimeter and area of the image?

  • Perimeter =    units
    Area =    square units

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