Question

TriangleABC has vertices A(0, 6) , B(−8, −2) , and C(8, −2) . A dilation with a scale factor of 12 and center at the origin is applied to this triangle. What are the coordinates of B′ in the dilated image? Enter your answer in the boxes. B′ has a coordinate pair of ( , )

Answer 1

Step-by-step Answer:

A dilation about (0,0) or origin has the rule

(x,y) -> (kx,ky)

where k is the scale factor, (x,y) denotes the preimage, and (kx,ky) denotes the image.

For B(-8,-2), and k=12,

we have

B'(-8*12,-2*12) = B'(-96,-24)