If ABCD were dilated by a scale factor of with the center of dilation being the 2 origin, describe the effects on ABCD.

Be sure to address side lengths, angle measures, and relative location. If ABCD were dilated by a scale factor of 2, how would your answer change?

A = (4,4)

B = (8,4)

C = (7,7)

E =(5,7)
Make sure your explanation is no longer than 3 sentences and is simply explained

1 answer

When quadrilateral ABCD is dilated from the origin by a scale factor of \( k \), the new coordinates of each vertex will be \((kx, ky)\), resulting in side lengths being multiplied by \( k \) and angle measures remaining unchanged. The relative location of ABCD will change as it moves farther away from the origin, but its shape will remain the same. If the scale factor is 2, the new coordinates would be \( A' = (8, 8) \), \( B' = (16, 8) \), \( C' = (14, 14) \), and \( E' = (10, 14) \), with side lengths doubled.

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