Question

The rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of A prime, point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C? On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 10, 8), (negative 6, 8), (negative 6, negative 2), (negative 10, negative 2). Point A is at (negative 4, 3.2). The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8). The scale factor is 0.4 and the coordinates of point C are (–2.4, –0.8). The scale factor is 2.5 and the coordinates of point C are (–15, 5). The scale factor is 0.4 and the coordinates of point C are (–15, 5).

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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Answer:

  (a)  The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8)

Step-by-step explanation:

We are given ...

  A(-4, 3.2) and A'(-10, 8)

  C'( -6, -2)

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The scale factor is the ratio of corresponding coordinates:

  A'x/Ax = -10/-4 = 2.5 . . . scale factor

Then the coordinates of C will be ...

  C' = 2.5C

  C = C'/2.5 = (-6, -2)/2.5

  C = (-2.4, -0.8)