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Understanding Congruent Triangles and SSS Postulate in Geometry

This homework assignment focuses on the fundamental concepts of congruent triangles and the application of the Side-Side-Side (SSS) Postulate. Students will solve problems to prove triangle congruence using given information, such as angles and side lengths. Key concepts include the 3rd angle theorem, properties of angles, and the reflexive property. By completing various exercises and examples, students will strengthen their understanding of triangle congruence and the conditions that make triangles congruent, ultimately preparing them for more complex geometric proofs.

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Understanding Congruent Triangles and SSS Postulate in Geometry

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  1. Warm-upHomework on your desk! MNO = PRQ 3rd angle theorem 3x + 2x + 10 = 7x – 50 60 = 2x x = 30

  2. 4.3 Prove Triangles Congruent by SSS

  3. Try this on for size! XWY = ZWY, All corresponding parts are congruent.

  4. Use the given information to find the indicated values. 5x + 2 = 87 5x = 85 x = 17 42 + 87 + 3y = 180 129 + 3y = 180 3y = 51 y = 17

  5. And this one tough guys! Reflexive Property <A = <C Def. of congruent Triangles

  6. SR ST TR RST

  7. HJ FG = GH JG = GJ SSS Congruence Postulate

  8. False, we cannot assume SR = TV. True, JL = LM, JK = KM and LK = KL

  9. fixed cannot change shapes stable Not stable

  10. Stable, congruent triangles Not stable, two non-congruent polygons

  11. Given Given Reflexive property SSS Postulate

  12. Given Given Def. of midpoint Reflexive Property SSS Postulate

  13.  HomeWork  Pg 236/1-4, 7, 8, 11, 12, 14-30, 33, 36, 37

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