triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false

True because all properties are preserved under dilation from triangle ABC to A'B'C'.
We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'
We have to determine after dilation, the properties of triangle ABC and A'B'C' is true or false.
A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.
here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.
So, the dilation of the triangle is not congruent but similar to the original triangle ABC
Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.
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