Question

Triangle ABC is transformed to form triangle DEC by the sequence of transformations listed below.

• A dilation with its center at the origin and a scale factor of 2

•Reflection over the x-axis

Which relationship does the transformed triangle DEC have with the original triangle ABC?

A. Similar and Congruent
B. Similar but not congruent
C. Congruent but not similar
D. Neither similar nor congruent ​

Answer 1

B. Similar but not congruent

Explanation:

Transformations involving translation, rotation, or reflection are called "rigid" transformations, because they do not affect the shape or size of the object--just its location on the coordinate plane. These transformations result in congruent figures.

Dilation is a transformation that affects the size of the object. A dilated figure is similar to the original, but is not congruent to it.

DEC is similar to ABC, but not congruent.