Question

Triangle ABC has vertices A(0, 6) , B(−8, −2) , and C(8, −2) . A dilation with a scale factor of 1/2 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.

( , )

Answer 1

Scale factor: 1/2

B (-8, -2)

Since your scale factor is 1/2 you would divide each of your coordinates by 2.
X- Coordinate: -8 divided by 2 would be -4
Y- coordinate: -2 divided by 2 would be -1

New coordinate: B (-4, -1) <That is your answer

HOPE THIS HELPS! ^_^

Answer 2

The coordinates of B′ in the dilated image is  (-4, -1)

What is dilation?

Dilation is a transformation method that increases or decreases the size of an object using a scale factor "k"

GIven the coordinate point B = (-8, -2)

If the coordinate point is dilated by a factor of 1/2, hence the resulting coordinate will be;

B' = 1/2B

B' = (-8/2, -2/2)

B' = (-4, -1)

Hence the coordinates of B′ in the dilated image is  (-4, -1)

Learn more on dilation here: https://brainly.com/question/3457976