Question

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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.

What is the scale factor of the dilation?


1/2

2/3

3/2

2

Answer 1

the answer is 3/2

you can divide each or one of the vertice(s) of the triangle A'B'C' by the triangle ABC to find the scale factor of dilation..... So

vertice of A and A'

A' (7.5)/ (5) A= 1.5 3/2=1.5
A' (4.5)/(3) A=1.5

So, if we put 3/2 in decimal is equal to 1.5, and 1.5 is the scale factor of this dilation between the division of the vertice A' by vertice A