## ΔABC has coordinates of A (–6, –7), B (4, –2), and C (0, 7). Find the coordinates of its image after a dilation centered at the origin

Question

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## Answers ( No )

The rule for dilation (scale factor k) about the origin is given by:

(x,y)->(kx,ky)

This means that when k=2,

(x,y)->(2x,2y) after dilation.

A(-6,-7)->A'(-12,-14)

B(4,-2)->B'(8,-4)

C(0,7)->C'(0,14)

A dilation with a scale factor k about the origin can be described using the following notation:

(x,y)→(kx,ky).

In your case, k=2, then

Answer:A'(-12,-14), B'(8,-4), C'(0,14).