Trapezoid TRAP was dilated by a scale factor of 1/2 to create trapezoid T'R'A'P'.
2 answers:
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.
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We can see that width of rectangle is 1.5 times height of rectangle.
Our one set of dimensions of rectangle will be: height=1 and width=1.5.
We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.
Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.
Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.