Answer:
Point X is the center of dilation.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that trapezoid TRAP was dilated by a scale factor of 1/2 to create trapezoid T'R'A'P'.
We need to find the center of dilation.
All points of the figure are expanded or contracted about a fixed point, that point is know as center of a dilation.
To find the center of a dilation, draw 4 lines which are connecting vertices with their corresponding images. The intersection point on these lines is the center of a dilation.
From the 2nd figure it is clear that lines TT', RR', AA' and PP' intersect each other at point X.
Therefore, point X is the center of dilation.
