5.2 Congruent Polygons - Mr. Riggs Mathematics

5.2 Congruent Polygons What We Will Learn Identify and use corresponding parts Use Third Angles Thm. Needed Vocab Corresponding parts: same location on different polygons Ex. 1 Identifying Corresponding Parts

Write congruence statement for the triangle and the corresponding parts When write statement, go in same direction and order Use corresponding parts to help with orientation Order of congruency statement shows which corresponding parts are

congruent Useful when no picture Ex. 2 Using Congruent Polygons In the diagram, Orientation in congruency statement

tells what is congruent to each other Find x Ex. 3/5 Proving Polygons Congruent Statement Reason 1. 1. Given 2.

2. Reflex. Prop. 3. 3. Alt. Int. Angles 4. 4. Def of polygon Given:

Prove: Ex. 4 Third Angle Thm. If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent. Remember that all angles of a triangle add up to 180 degrees. Find

Separate triangles and look at what given Then use Third Angle theorem to find angle we want Find missing angle in triangle with given angle measurements

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