Triangle PQR was translated using the rule (x − 2, y + 5) and then dilated by a scale factor of 3 to create triangle P″Q″R″. Which statement explains why the triangles are similar?
A) Translations and dilations preserve orientation; therefore, the corresponding angles of ΔPQR and ΔP″Q″R″ are proportional.
B) Translations and dilations preserve side length; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are congruent.
C) Translations and dilations preserve betweenness of points; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are proportional.
D) Translations and dilations preserve collinearity; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are congruent.