What’s wrong with this picture?. Warm-up Turtle’s walk at 3-4 mph. Snails top speed is 13 inches in 2 minutes. Wee!

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Proving Triangles Congruent: SSS and SAS

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Presentation transcript:

What’s wrong with this picture?

Warm-up Turtle’s walk at 3-4 mph. Snails top speed is 13 inches in 2 minutes. Wee!

Agenda Homework Review Chapter 4 Identifying Congruent Triangles 4-4 Proving Triangles Congruent Chapter 3 “Retake” Test today.

4-3 Study Guide

4-3 Practice

Triangle Congruence Postulates Proving two triangles to be congruent does not require you to determine that all six parts of the triangles are congruent (3 angles & 3 sides). There are a few short cuts.... each short cut only requires you to find a particular three things.... and if you do... you prove congruence.

Postulate 4-1 SSS Postulate (Side-Side-Side) If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.

Side-Side-Side Examples

Postulate 4-2 SAS Postulate (Side-Angle-Side) If two sides and the INCLUDED angle of one triangle are congruent to two sides and the INCLUDED angle of another triangle, then the triangles are congruent. Vertical Pair

Side-Angle-Side Examples

Postulate 4-3 ASA Postulate (Angle-Side-Angle) If two angles and the INCLUDED side of one triangle are congruent to two angles and the INCLUDED side of another triangle, then the triangles are congruent.

Angle-Side-Angle Example

Chapter 3 Retake

Answers Ahead

4-4 Study Guide

Homework 4-4 Study Guide and Practice