ΔABC has coordinates of A(–5, –7), B(6, –3), and C(2, 7). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.

A. A(–10, –14), B(12, –6), C(4, 14)

B. A(–10, –7), B(12, –3), C(4, 7)

C. A(–5, –7), B(6, –3), C(2, 7)

D. A(–2.5, –3.5), B(3, –1.5), C(1, 3.5)

Multiply each of the coordinates by 2.

A(-5, -7) ---> A'(-10, -14)

B(6, –3) ----> B'(12, -6)

C(2, 7) ---> C'(4, 14)

ANSWER: A. A(–10, –14), B(12, –6), C(4, 14)

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