Are the two triangles similar? If yes, then complete the similarity statement. Select all that apply. △RQP∼△? by ? similarity The triangles are not similar. △FED △EFD by SAS similarity by SSS similarity by AA similarity

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Are the two triangles similar? If yes, then complete the similarity statement.  Select all that apply.  △RQP∼△? by ? similarity    The triangles are not similar.  △FED  △EFD  by SAS similarity  by SSS similarity  by AA similarity

dessinemoie · Accepted Answer

Step 1  Given Data  ∠RPQ=∠FDE=37∘  RP=30  QP=24  ED=20  FD=25  Step 2  Find the ration of the side RP and QP in triangle △RQP.  RPQP=3024  RPQP=1.25  Find the ration of the side FD ad ED in triangle △FED.  FDED=2520  FDED=1.25  Step 3  The ratio of side RP and QP in triangle RQP is equal to the ratio of FD and ED in triangle △FED.  RPQP=FDED=1.25  ∠RPQ=∠FDE=37∘  So, the triangles △RQP and △FED are similar according to SAS similarity.  Correct options  △RQP∼△FED by SAS similarity.

\triangle RQP\sim \triangle Are the two triangles similar?

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