Question

Δpqr was reflected and then dilated by a scale factor of 4 to create Δp"q"r". Which statement explains why Δpqr is similar to Δp"q"r"?

1) Reflections and dilations preserve side length; therefore, the corresponding sides of Δpqr and Δp"q"r" are congruent.
2) Reflections and dilations preserve angle measure; therefore, the corresponding angles of Δpqr and Δp"q"r" are congruent.
3) Reflections and dilations preserve orientation; therefore, the corresponding angles of Δpqr and Δp"q"r" are proportional.
4) Reflections and dilations preserve collinearity; therefore, the corresponding angles of Δpqr and Δp"q"r" are congruent.

Answer 1

The similarity between Δpqr and Δp"q"r" is due to the fact that reflections and dilations preserve angle measure, making corresponding angles congruent.

Step-by-step explanation:

The question is asking why Δpqr is similar to Δp"q"r" after a reflection and a dilation by a scale factor of 4. The correct statement that explains this similarity is that reflections and dilations preserve angle measure; therefore, the corresponding angles of Δpqr and Δp"q"r" are congruent. This similarity also implies that the sides of the triangles are proportional, although their lengths are not preserved (as they are stretched by the dilation by a factor of 4).