Diana L.

asked • 12/15/23

∆PQR was reflected and then dilated by a scale factor of 4 to create ∆P''Q''R''. Which statement explains why ∆PQR is similar to ∆P''Q''R''?


  1.  Reflections and dilations preserve side length; therefore, the corresponding sides of ∆PQR and ∆P''Q''R'' are congruent. 
  2. Reflections and dilations preserve angle measure; therefore, the corresponding angles of ∆PQR and ∆P''Q''R'' are congruent. 
  3. Reflections and dilations preserve orientation; therefore, the corresponding angles of ∆PQR and ∆P''Q''R'' are proportional. 
  4. Reflections and dilations preserve collinearity; therefore, the corresponding angles of ∆PQR and ∆P''Q''R'' are congruent.

Brenda D.

tutor
A dilation can expand or contract(shrink) the size of a figure but it does not affect the angle measure. In your question the triangle was dilated by a scale of 4. A Reflection changes the orientation but does not effect the angle measure.
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12/15/23

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