Question

Triangle ABC with vertices A(4, -6), B(2, -8), and C(-10, 4) is dilated by a scale factor of 2 to obtain triangle A'B'C Which statement best describes triangle A'B'C it is similar to triangle ABC and has coordinates A'(2,-3), B'(1,-4), and C'(-5, 2). It is similar to triangle ABC and has coordinates A'(8,-12). B'(4, -16), and C'(-20, 8). It is congruent to triangle ABC and has coordinates A'(2, -3), B'(1,-4), and C'(-5, 2). It is congruent to triangle ABC and has coordinates A'(8, -12), B'(4,-16), and C'(-20, 8).

Answer 1

It is similar to triangle ABC and has coordinates A'(8,-12). B'(4, -16), and C'(-20, 8).

Explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor:

A' = 2A = 2(4, -6) = (8, -12) . . . . A' for example

Dilated figures cannot be congruent if the dilation factor is not 1. They are always similar.

The appropriate description is the one shown above.