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GEOMETRY Unit 3, Triangles Name ________________________ Notes 5-3, Congruent Triangles Date __________ Period _________ 5-3, Congruent Triangles Definition of Congruent Triangles – When identifying the corresponding parts of congruent triangles, you need to look for the same congruent markings. o For congruent segments, _____________________________________ o For congruent angles, ________________________________________ 1. a. List the pairs of congruent angles for the triangles ___________________________ b. List the pairs of congruent sides for the triangles ____________________________ c. Since the sides and angles of the triangles are congruent, we write ________________ 2. a. List the pairs of congruent angles for the triangles __________________________ b. List the pairs of congruent sides for the triangles ___________________________ c. Since the sides and angles of the triangles are congruent, we write ________________ Geometry Unit 3 – Congruent Triangles * Remember: The way to write the congruence of the triangles is to have the congruent angles listed in ____________________ order in the triangles names. 3. a. List the pairs of congruent angles for the triangles __________________________ b. List the pairs of congruent sides for the triangles ___________________________ c. Since the sides and angles of the triangles are congruent, we write ____________ 4. a. List the pairs of congruent angles for the triangles __________________________ b. List the pairs of congruent sides for the triangles ___________________________ c. Since the sides and angles of the triangles are congruent, we write ________________ 2 Geometry 5. Unit 3 – Congruent Triangles Given: C is the midpoint of AE C is the midpoint of BD a. List the pairs of congruent angles for the triangles __________________________ b. List the pairs of congruent sides for the triangles ___________________________ c. Since the sides and angles of the triangles are congruent, we write ________________ 6. Given: BM is a bisector to AC BM bisects ABC a. List the pairs of congruent angles for the triangles __________________________ b. List the pairs of congruent sides for the triangles ___________________________ c. Since the sides and angles of the triangles are congruent, we write ________________ 3 Geometry 7. Given: Unit 3 – Congruent Triangles AC bisects BAD AC bisects BCD a. List the pairs of congruent angles for the triangles __________________________ b. List the pairs of congruent sides for the triangles ___________________________ c. Since the sides and angles of the triangles are congruent, we write ________________ 4