Question

triangle pqr was dilated according to the rule ( d_{o,2}(x,y)\to(2x,2y) ) to create similar triangle ( pqq ). which statements are true? select two options. ( angle r ) corresponds to ( angle pqq ). ( angle pqr ) corresponds to ( angle qpq ). segment ( qq ) is parallel to segment ( pp ). side ( rq ) corresponds to side ( qq ). ( \triangle pqrcong\triangle pqq )

Explanation:

• For similar triangles, corresponding angles are equal. In the dilation \(D_{O,2}(x,y)\to(2x,2y)\), \(\angle R\) and \(\angle P'QQ'\) are corresponding angles.
• Also, in the dilation, side \(RQ\) and side \(QQ'\) are corresponding sides as the dilation affects the sides proportionally.

Answer:

\(\angle R\) corresponds to \(\angle P'QQ'\), Side \(RQ\) corresponds to side \(QQ'\)