10.02 Congruent triangle tests (Extended)
Interactive practice questions
Consider the two triangles in the diagram below:
Two triangles, $\triangle PQR$△PQR and $\triangle ABC$△ABC, have their vertices marked with solid dots. The triangle above is $\triangle PQR$△PQR labeled with vertices $P$P, $Q$Q, and $R$R. The angle at vertex $R$R, $\angle PRQ$∠PRQ, is marked with a small yellow square. The side $PQ$PQ measures $7$7 units and is opposite $\angle PRQ$∠PRQ at vertex $R$R. The side $PR$PR measures $4$4 units and is opposite $\angle PQR$∠PQR at vertex $Q$Q. The side $RQ$RQ is unlabeled and is opposite $\angle RPQ$∠RPQ at vertex $P$P. The triangle below is $\triangle ABC$△ABC labeled with vertices $A$A, $B$B, and $C$C. The angle at vertex $C$C, $\angle ACB$∠ACB, is marked with a small yellow square. The side $AB$AB measures $7$7 units and is opposite $\angle ACB$∠ACB at vertex $C$C. The side $AC$AC measures $4$4 units and is opposite $\angle ABC$∠ABC at vertex $B$B. The side $BC$BC is unlabeled and is opposite $\angle BAC$∠BAC at vertex $A$A.
Are $\triangle PQR$△PQR and $\triangle ABC$△ABC congruent?
Yes, they satisfy SSS.
Yes, they satisfy SAS.
Yes, they satisfy AAS.
Yes, they satisfy RHS.
No, they are definitely not congruent.
Unknown, there is not enough information.
Consider the two triangles in the diagram below:
Consider the two triangles in the diagram below:
Consider the two triangles in the diagram below: