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4-3: Congruent Triangles
Objective: Identify congruent triangles, and name & label corresponding parts of congruent triangles.
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Congruent Figures have the same shape and the same size.
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Ex. 1 Congruence Statement: Corresponding Sides Corresponding Angles
Other Congruence Statements:
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Corresponding parts of congruent triangles are congruent. “C.P.C.T.C.”
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Ex. 2:
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Properties of Congruence
Reflexive Property: Symmetric Property: Transitive Property:
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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
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Ex. 3: Determine if the triangles are congruent.
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Statements Reasons
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