7.02 Testing for triangle congruence
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 a solid dot. The triangle above is $\triangle PQR$△PQR labeled with vertices $P$P, $Q$Q, and $R$R. The right-angled $\triangle PQR$△PQR has a vertical side $PR$PR measuring $4$4 units, a horizontal line $RQ$RQ with no indicated measurement, and the hypotenuse side $PQ$PQ measuring $7$7 units. There is a small square marking the right angle at vertex $R$R. The triangle below is $\triangle ABC$△ABC labeled with vertices $A$A, $B$B, and $C$C. The right-angled $\triangle ABC$△ABC has a vertical side $AC$AC measuring $4$4 units, a horizontal line $BC$BC with no indicated measurement, and the hypotenuse side $AB$AB measuring $7$7 units. There is a small square marking the right angle at vertex $C$C.
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: