Dilate the figure by a scale factor 1/2 of with the origin as the center of Gilation. What are the coordinates of the image ABC?

The coordinates of the image ABC will be:

Step-by-step explanation:

Given the vertices of an original triangle

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/2 centered at the origin

P(x, y) → P'(1/2x, 1/2y)

so

A(6, 6) → A'(1/2(6), 1/2(6))  → A'(3, 3)

B(12, 12) → B'(1/2(12), 1/2(12))  → B'(6, 6)

C(30, 24) → C'(1/2(30), 1/2(24))  → C'(15, 12)

Therefore, the coordinates of the image ABC will be:

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.