6.05 Right triangle congruence
Interactive practice questions
Consider the two triangles in the diagram below:
Which of the following statements about $\triangle PQR$△PQR and $\triangle ABC$△ABC is true?
$\triangle PQR$△PQR$\cong$≅$\triangle ABC$△ABC based on the SSS congruence theorem.
$\triangle PQR$△PQR$\cong$≅$\triangle ABC$△ABC based on the SAS congruence theorem.
$\triangle PQR$△PQR$\cong$≅$\triangle ABC$△ABC based on the AAS congruence theorem.
$\triangle PQR$△PQR$\cong$≅$\triangle ABC$△ABC based on the HL congruence postulate.
$\triangle PQR$△PQR and $\triangle ABC$△ABC are not congruent.
There is not enough information to determine whether $\triangle PQR$△PQR$\cong$≅$\triangle ABC$△ABC.
Consider the two triangles in the diagram below:
In the diagram, $MQ$MQ is perpendicular to $PR$PR, and $\Delta MPR$ΔMPR is isosceles.
In the diagram, $\overline{HJ}\parallel\overline{KL}$HJ∥KL and $\overline{HK}\cong\overline{LJ}$HK≅LJ.