Question

Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is AAA and scale factor is \dfrac{1}{4} 4 1 ​ start fraction, 1, divided by, 4, end fraction.

Answer 1

The coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)

Dilation

Assuming the coordinate of the triangle ABC is A(4, 4), (12, 16) and (-4, -8).

If the coordinate is dilated by a factor of 1/4, the resulting coordinates will be at:

• A' = (4/4, 4/4) = (1, 1)

• B' = (12/4, 16/4) = (3, 4)

• C' = (-4/4, -8/-4) = (1, 2)

Hence the coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)

Learn more on dilation here: https://brainly.com/question/10253650