Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
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If rectangle ABCD, defined by the coordinates A(0, 0), B(0, -4), C(-2, -4), D(-2, 0), is dilated by a scale factor of 2, with re
notsponge [240]
Answer:
D) (-2, -4).
Step-by-step explanation:
Let 
be the center of dilation. Imagine that is the center of origin of a new Cartesian Plane. What would the coordinates of point A and A' on the new plane?
Dilating 
about the "origin" of the new plane by a factor of two will give the point 
, also on the new plane.
For coordinates of A' on the original plane,
.
As a result,
.
.
.
In other words, 
is the center of dilation.
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