which rule explains why these triangles are similar?\n\nsss\nsas\naa\nnone of the above; the triangles…

Explanation:

Step1: Check SSS similarity

SSS similarity requires (\frac{PQ}{GI}=\frac{QR}{IH}=\frac{PR}{GH}). (\frac{65}{71}\neq\frac{55}{36}\neq\frac{30}{71}), so SSS is not valid.

Step2: Check SAS similarity

SAS similarity requires two sides in proportion and included angle equal. There is no information about angles, and (\frac{PQ}{GI}\neq\frac{PR}{GH}) ((\frac{65}{71}\neq\frac{30}{71})), so SAS is not valid.

Step3: Check AA similarity

AA similarity requires two angles equal. No angle information is given to prove two angles equal, so AA is not valid.

Answer:

none of the above; the triangles cannot be proven similar