Topics
5. Congruence and Triangles
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United States of America
Grades 9-12

5.03 SSS and SAS congruence criteria

Lesson
Practice
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.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.10

Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

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