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Understanding Triangle Congruence: Proving Congruent Parts

This resource explores the concept of triangle congruence, highlighting the corresponding parts of congruent triangles. It covers the essential methods—Side-Angle-Side (SAS), Side-Side-Side (SSS), and Angle-Side-Angle (ASA)—to prove triangles are congruent. Activities include identifying congruent angles and sides in given triangles, writing congruence statements, and applying these skills in practice problems. Understanding these concepts is crucial for maintaining accuracy in geometric proofs and enhancing critical thinking skills.

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Understanding Triangle Congruence: Proving Congruent Parts

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  1. Notes Over 9 - 5 Congruence V 300 m X W T U U W X 3. Find the length of XW. When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding congruent angles. 2. Name the corresponding congruent sides. 300 m

  2. Notes Over 9 - 5 Congruence You can use corresponding parts of a triangle to prove ___________ triangles. congruent Three ways to prove that two triangles are congruent. Side-Angle-Side Side-Side-Side SAS SSS

  3. Notes Over 9 - 5 Congruence You can use corresponding parts of a triangle to prove ___________ triangles. congruent Three ways to prove that two triangles are congruent. Angle-Side-Angle ASA

  4. Notes Over 9 - 5 Congruence D D A B C B C ASA by 4. List the congruent corresponding parts of each pair of triangles. Write a congruence statement for the triangles.

  5. Pg 466 9 – 5 #1 – 4, 5 – 23 A X W B C Z Y X 1. Assume that . Write six congruent statements involving corresponding sides and angles. The corresponding sides that are congruent. The corresponding angles that are congruent.

  6. Pg 466 9 – 5 #1 – 4, 5 – 23 G C G K A B H SAS by H K List the congruent corresponding parts of each pair of triangles. Write a congruence statement for the triangles. 2.

  7. Pg 466 9 – 5 #1 – 4, 5 – 23 B D C A E E SAS by C D List the congruent corresponding parts of each pair of triangles. Write a congruence statement for the triangles. 3.

  8. Pg 466 9 – 5 #1 – 4, 5 – 23 M P 4. N Q R O P SSS by Q R List the congruent corresponding parts of each pair of triangles. Write a congruence statement for the triangles.

  9. Notes Over 9 - 5 Congruence

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