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4.03 ASA and AAS congruence criteria

Adaptive
Worksheet

Interactive practice questions

Consider the two triangles in the diagram below:

Which of the following statements about $\triangle GHI$GHI and $\triangle LMN$LMN is true?

$\triangle GHI$GHI$\cong$$\triangle LMN$LMN based on the SSS congruence theorem.

A

$\triangle GHI$GHI$\cong$$\triangle LMN$LMN based on the SAS congruence theorem.

B

$\triangle GHI$GHI$\cong$$\triangle LMN$LMN based on the AAS congruence theorem.

C

$\triangle GHI$GHI$\cong$$\triangle LMN$LMN based on the HL congruence theorem.

D

$\triangle GHI$GHI and $\triangle LMN$LMN are not congruent.

E

There is not enough information to determine whether $\triangle GHI$GHI$\cong$$\triangle LMN$LMN.

F
Easy
< 1min

Consider the two triangles in the diagram below:

Easy
< 1min

Consider the two triangles in the diagram below:

Easy
< 1min

Consider the two triangles in the diagram below:

Easy
< 1min
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Outcomes

MA.912.GR.1.2

Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.

MA.912.GR.1.6

Solve mathematical and real-world problems involving congruence or similarity in two-dimensional figures.

MA.912.GR.2.7

Justify the criteria for triangle congruence using the definition of congruence in terms of rigid transformations.

MA.912.LT.4.8

Construct proofs, including proofs by contradiction.

MA.912.LT.4.10

Judge the validity of arguments and give counterexamples to disprove statements.

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