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Mathematics 14 Online
Axolotl:

I need a little help with this, please! 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? Translations and dilations preserve orientation; therefore, the corresponding angles of ΔPQR and ΔP″Q″R″ are proportional. Translations and dilations preserve side length; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are congruent. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are proportional. Translations and dilations preserve collinearity; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are congruent.

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