Question

Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A'B'C'D'E'. If the endpoints of BC are B(3, 5) and C(5, 10), what is the slope of B'C'?

Answer 1

Answer;

slope = 5/2

Solution and Explanation;

-Polygon which is dilated by a scale factor of 3.

The endpoints of BC are B (3,5) and C (5,10) .

The image of B and C under the dilation will be;

B' = 3 (3,5) = (9,15)

C' = 3(5,10) = (15, 30)

The slope is given by change in y divided by change in x

slope = (30-15)/(15-9)

= 15/6

= 5/2

Answer 2

The question or problem ask to calculate the slope of the said dilated polygon which it was dilated by a scale factor of 3. In my own calculation the slope of the BC is 5/2 or -5/-2 and the dilated polygon has a the same slope of the original polygon. I hope this would help