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Aim:

Aim:. What are congruent polygons? How do we prove triangles congruent using Side-Angle-Side Postulate?. A. Do Now:. Given:. 1. 2. 3. 4. B. Prove:. C. D. Given. Given. Given. Def. angle bisector. Complements of the same or congruent angles are congruent. B. F. C. G. A. E.

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Aim:

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  1. Aim: What are congruent polygons? How do we prove triangles congruent using Side-Angle-Side Postulate? A Do Now: Given: 1 2 3 4 B Prove: C D Given Given Given Def. angle bisector Complements of the same or congruent angles are congruent. Geometry Lesson: Congruent Polygons, Triangles, SAS

  2. B F C G A E D H Def: Congruent Polygons • Two polygons are congruent if and only if: • Corresponding angles are congruent. • Corresponding sides are congruent. Geometry Lesson: Congruent Polygons, Triangles, SAS

  3. Ex: Congruent Polygons H M 96º 50º 34º B R 96º 50º 34º Q A 1) Given the triangles shown: a) Write a congruence statement for the triangles. b) Which angle is congruent to H? c) Which side is congruent to side AQ? Geometry Lesson: Congruent Polygons, Triangles, SAS

  4. Postulate: Ex:Which pairs of triangles can be proved congruent using S-A-S? 1) 2) 3) x Postulate: Side-Angle-Side Postulate (SAS) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Construct an identical triangle using two sides and the included angle. There is only one length for the 3rd side that will complete the triangle. X X  Geometry Lesson: Congruent Polygons, Triangles, SAS

  5. C 1 2 A B D Ex 1: Proof w/S.A.S. Given: Prove: Given Given Def. angle bisector Reflexive Postulate S.A.S. Postulate Geometry Lesson: Congruent Polygons, Triangles, SAS

  6. A B 2) Given: C Prove: E D A 3) Given: B E D Prove: C A 4) Given: x D B y P Prove: C Ex 2,3,4: Proofs w/S.A.S. Geometry Lesson: Congruent Polygons, Triangles, SAS

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