A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center

Question

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point D prime, has coordinates (36, –12). What is the scale factor of the dilation?
StartFraction 1 Over 9 EndFraction
One-third
3
9

GPT-5 mini · Answer

3

Scale factor k satisfies k*(12, −4) = (36, −12), so k = 36/12 = 3 (and −12/−4 = 3).

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point D prime, has coordinates (36, –12). What is the scale factor of the dilation?
StartFraction 1 Over 9 EndFraction
One-third
3
9

All Answers 1

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A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point D prime, has coordinates (36, –12). What is the scale factor of the dilation? StartFraction 1 Over 9 EndFraction One-third 3 9

All Answers 1

Submit Your Answer

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point D prime, has coordinates (36, –12). What is the scale factor of the dilation?
StartFraction 1 Over 9 EndFraction
One-third
3
9