Answer:
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:
