4-3: Congruent Triangles

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Presentation transcript:

4-3: Congruent Triangles Objective: Identify congruent triangles, and name & label corresponding parts of congruent triangles.

Congruent Figures have the same shape and the same size.

Ex. 1 Congruence Statement: Corresponding Sides Corresponding Angles Other Congruence Statements:

Corresponding parts of congruent triangles are congruent. “CPCTC”

Ex. 2:

Homework Day 1: 4.2A #1 - 2, 4 - 15

Properties of Congruence Reflexive Property: Symmetric Property: Transitive Property:

Third Angles Theorem – If two angles of one triangle are congruent to 2 angles of a 2nd triangle, then the 3rd angles are congruent

Ex. 3: Determine if the triangles are congruent.

Homework Day 2: 4.2A #16 - 19 4.2B # 8 - 10 Day 3: 4.2B #13 4.3C #2-9, 12

Proof - a logical arrangement of facts that establishes another truth ALWAYS begin a proof with what you know… a.k.a. “given” information Organized into two numbered columns, as pictured below. Statements Reasons

Statements Reasons