Congruent Triangles.

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Presentation transcript:

Congruent Triangles

Unit 4: Triangle Theorems Congruence and CPCTC Objective: Recognize congruent figures and their corresponding parts Find measures of angles of triangles Essential Question: Can you prove congruence by comparing the corresponding parts of two figures? Home Learning: Congruency & CPCTC

Triangle Angle Sum Theorem

Congruence and Corresponding PArts Congruent Shapes:

Congruence and Corresponding PArts Non Congruent shapes:

Congruence and Corresponding PArts Congruent Triangles:

Congruence and Corresponding Parts In two congruent polygons, all of the parts of one polygon are congruent to the corresponding parts or matching parts of the other polygon. These corresponding parts include corresponding angles and corresponding sides.

Congruence and Corresponding Parts in Triangles

Identify Corresponding Congruent parts Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement. Congruence Statement:

Use Corresponding parts of congruent Triangles

Summary Essential Question: Home Learning: Can you prove congruence by comparing the corresponding parts of two figures? Home Learning: Congruency & CPCTC