Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image AA'B'C'D'. If the slope of AB is -2, What is the slope of A'B'?

A.) -4
B.) -1
C.) -2
D.) 0

Dilation is a kind of transformation in which an object is resized based on a scale factor. Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape.

For the given situation,

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A'B'C'D.

The slope of AB is -2.

After the dilation of the rectangle by scale factor 2, the slope of the sides will not change.

Thus the slope of the rectangle A'B'C'D will be the same as ABCD.

Hence we can conclude that after dilation, the slope of A'B' is option (C) -2 is the correct answer.

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Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image AA'B'C'D'. If the slope of AB is -2, What is the slope of A'B'? A.) -4 B.) -1 C.) -2 D.) 0

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What is transformation of dilation?

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Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image AA'B'C'D'. If the slope of AB is -2, What is the slope of A'B'?

A.) -4
B.) -1
C.) -2
D.) 0