GM-U4.3 Lesson: SSS & SAS Congruence

Unit 4 Lesson 3:
SSS & SAS Congruence

​Objective:

Students are going to test for congruent triangles using SSS and SAS proofs.

Side, Angle, Side
If two triangles share two congruent sides w/ a congruent angle b/n those sides they are congruent.

​SAS

Side, Side Side
If all three sides of a triangle are congruent to that of another triangle the triangles are congruent.

​SSS

Concepts:

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Can we prove these triangles to be congruent? If so, how.

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Example 1:

Can we prove these triangles to be congruent? If so, how.

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Example 2:

Can we prove these triangles to be congruent? If so, how.

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Example 3:

The End

If you missed any part of the example explanations please view the next three sides so they can be added to your notes.

Can we prove these triangles to be congruent? If so, how.

Yes, congruent by SSS. Two sides marked as congruent, and a third shared side which must also be congruent.

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Example 1:

Can we prove these triangles to be congruent? If so, how.

Not congruent by SSS or SAS. Not enough information to prove congruency.

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Example 2:

Can we prove these triangles to be congruent? If so, how.

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Yes, congruent by SAS. Two sides marked as congruent, w/ a congruent shared angle b/n them.

Example 3: