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Name all the things that can you conclude from each diagram?.

Warm Up. Name all the things that can you conclude from each diagram?. 1. 2 things 2. 3 things 3. 4 things. 4.2: Proving Triangles are Congruent by SSS and SAS. Objectives: Prove that triangles are congruent using SSS and SAS Congruence Postulates.

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Name all the things that can you conclude from each diagram?.

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  1. Warm Up Name all the things that can you conclude from each diagram?. 1. 2 things 2. 3 things3. 4 things

  2. 4.2: Proving Triangles are Congruent by SSS and SAS Objectives: • Prove that triangles are congruent using SSS and SAS Congruence Postulates. • Use congruence postulates in real-life problems.

  3. How much information do you need to know to tell whether two triangles are congruent?

  4. Ways to Prove 2 Triangles Congruent 1. All sides and All angles are congruent 2. SSS 3. SAS

  5. Postulate 4-1: Side-Side-Side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

  6. Checkpoint? • Is there enough information given to prove that the two triangles are congruent? Explain. M L P N

  7. Given:M is the midpoint of XY, AXAY Prove: AMXAMY Copy the diagram. Mark the congruent sides. You are given that M is the midpoint of XY, and AXAY. Midpoint M implies MXMY. AMAM by the Reflexive Property of Congruence, so AMXAMY by the SSS Postulate. Triangle Congruence by SSS Write a paragraph proof.

  8. Postulate 4-2: Side-Angle-Side (SAS) Congruence Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of second triangle, then the two triangles are congruent.

  9. Given : C is the midpoint of AD and of BE Prove: Triangle ABC = DEC

  10. Given: RSGRSH, SGSH From the information given, can you prove RSG RSH? Explain. Copy the diagram. Mark what is given on the diagram. It is given that RSGRSH and SGSH. RSRS by the Reflexive Property of Congruence. Two pairs of corresponding sides and their included angles are congruent, so RSGRSH by the SAS Postulate.

  11. HW Assignment Section 4.2 Pages 189-191 #1-11, 14-21, 23-27

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