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. “C.P.C.T.C.”

Ex. 2:

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

DOUBLE ANGLE THEOREM D. A. T DOUBLE ANGLE THEOREM D.A.T.: If two angles of one triangle are congruent to the corresponding angles of another triangle then the third angles are congruent 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.

Statements Reasons