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10.05 Right triangle congruence

Adaptive
Worksheet

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.

A

$\triangle PQR$PQR$\cong$$\triangle ABC$ABC based on the SAS congruence theorem.

B

$\triangle PQR$PQR$\cong$$\triangle ABC$ABC based on the AAS congruence theorem.

C

$\triangle PQR$PQR$\cong$$\triangle ABC$ABC based on the HL congruence postulate.

D

$\triangle PQR$PQR and $\triangle ABC$ABC are not congruent.

E

There is not enough information to determine whether $\triangle PQR$PQR$\cong$$\triangle ABC$ABC.

F
Easy
< 1min

Consider the two triangles in the diagram below:

Easy
< 1min

Consider the following:

Easy
< 1min

Consider the following:

Easy
< 1min
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Outcomes

G.CO.B.7

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

G.CO.B.8

Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

G.CO.C.9

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

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