Question

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(7.5, 4.5) , B′(4.5, 10.5) , and C' (1.5,6). The center of dilation is the origin. A. 1/2 B.2/3 C3/2 D2

Answer 1

The Answer Is: 3/2 (fraction), 3 on top and 2 on bottom

Answer 2

First, we have the following points:
A (5, 3)
B (3, 7)
C (1, 4)
We multiply these vertices by a factor k to obtain the new vertices:
A '(k * 5, k * 3) = (7.5, 4.5)
B '(k * 3, k * 7) = (4.5, 10.5)
C '(k * 1, k * 4) = (1.5.6)

We note that the value of k is:
k = 3/2

Answer:
C3 / 2