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4.02 SAS and SSS congruence criteria

Adaptive
Worksheet

Interactive practice questions

Consider the following diagram:

a

Which two of the following triangles are congruent?

$\triangle BAE$BAE

A

$\triangle BCA$BCA

B

$\triangle ACD$ACD

C

$\triangle BCE$BCE

D
b

What congruence test does this pair satisfy?

SSS

A

SAS

B

AAS

C

RHS

D
Hard
1min

Consider the following diagram:

Hard
1min

Consider the following diagram:

Hard
1min

Consider the following diagram where $X$X is the center of both circles:

Hard
1min
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Outcomes

G.CO.B.6

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.7

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

G.SRT.B.3

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.

G.MP1

Make sense of problems and persevere in solving them.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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