6. Congruence & Triangles

6.01 Congruence transformations

6.02 Corresponding parts of congruent triangles

6.03 SSS and SAS congruence criteria

6.04 ASA and AAS congruence criteria

6.05 Right triangle congruence

United States of America Virginia

Geometry

6.02 Corresponding parts of congruent triangles

Adaptive

Worksheet

Interactive practice questions

Given that $\triangle PQR$△PQR$\cong$≅$\triangle STU$△STU:

Which of the following statements are true?

$$\overline{QR}\cong\overline{ST}$QR≅ST$

A

$$\overline{PQ}\cong\overline{ST}$PQ≅ST$

B

$$\overline{QR}\cong\overline{TU}$QR≅TU$

C

$$\overline{PQ}\cong\overline{TU}$PQ≅TU$

D

Easy

< 1min

Given that $\triangle CDE$△CDE$\cong$≅$\triangle LMN$△LMN:

Easy

< 1min

Given that $\triangle GHI$△GHI$\cong$≅$\triangle LMN$△LMN:

Easy

< 1min

Given that $\triangle STU$△STU$\cong$≅$\triangle ABC$△ABC:

Easy

< 1min

Outcomes

G.TR.2

The student will, given information in the form of a figure or statement, prove and justify two triangles are congruent using direct and indirect proofs, and solve problems involving measured attributes of congruent triangles.

G.TR.2a

Use definitions, postulates, and theorems (including Side-Side-Side (SSS); Side-Angle-Side (SAS); Angle-Side-Angle (ASA); Angle-Angle-Side (AAS); and Hypotenuse-Leg (HL)) to prove and justify two triangles are congruent.

G.TR.2b

Use algebraic methods to prove that two triangles are congruent.

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