Based on the vertices of quadrilateral ABCD and Quadrilateral FGHJ, A. The scale factor is 1/2, and the center of dilation is point A.
First, note the vertices of Quadrilateral FGHJ:
F(1,1) Â G(3 ,1) Â J (1 , 5) Â H(3 , 5)
Find the lengths of the sides of both quadrilaterals:
FG = (3, 1) - (1, 1) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â AB = (5,1) - (1, 1) Â
= (2,0) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (4, 0)
FH = (3, 5) - (1, 1) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â AC = (5,9) - (1, 1) Â
= (2,4) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (4, 8)
AB is twice the size of FG.
AC is twice the size of FH
This shows that quadrilateral FGHJ is 1/2 the size of quadrilateral ABCD.
Find out more on dilation at https://brainly.com/question/10253650.
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