Warm Up 1 ( Write a congruence statement

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Presentation transcript:

Warm Up 1 (2.10.20140 Write a congruence statement 2. List all corresponding sides and angles using the following congruence statement

Essential Question (2.10.2014) Use triangle congruence postulates and theorems to prove that triangles are congruent.

We have 3 postulates that prove two triangle are congruent We have 3 postulates that prove two triangle are congruent. Postulate: A statement we suggest or assume as true based on reasoning.

If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

If two sides and the included (between) angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Non-example of SAS: Why can’t we use SAS to show these triangles are congruent?

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

We now have the following: SSS – side, side, side SAS – Side, Angle (between), Side ASA – Angle, Side (between), Angle

Examples Which Theorem proves the Triangles are congruent? 1. SSS

ASA, when you have 2 sets of corresponding angles congruent, you know the third set of corresponding angles are congruent. 2.

3. SAS

4.