Question

Pentagon ABCDE is dilated by a scale factor of 4 with the origin as the center of dilation, resulting in the image A′B′C′D′E'. If the slope (m) of AB is -1.5, what is the slope of A'B'?

a. m = -1.5
b. m = - 6
c. m = 3
d. m = 6

Answer 1

the slope would be the same as AB

-1.5

Answer 2

Answer: a. m = -1.5

Explanation:

Given : Pentagon ABCDE is dilated by a scale factor of 4 with the origin as the center of dilation, resulting in the image A′B′C′D′E'.

The slope (m) of AB is -1.5

The property of dilation says that the slope of a line remains same after dilation by a scale factor.

Therefore, the slope of A'B' must remains same as -1.5.

Thus , the slope of A'B' is -1.5 .