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 `bar(BC)` are B(3, 5) and C(5, 10), what is the slope of `bar(B'C')` ?

Answer 1

5/2

Explanation:

According to the question,

• Given, 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) .

The Image of B and C under the Dilation Will be B' = 3(3,5) ⇒ (9,15)

And C' = 3(5,10) ⇒ (15,30)

• Then, the slope of B'C' is Given by Change in y divided by change in x ⇔ (30-15) / (15-9) = 15/6 ⇒ 5/2