## 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,

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).

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6 months 2021-07-24T19:23:57+00:00 2 Answers 34 views 0

## Answers ( )

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(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)

__

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)