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Warm Up 1. What are sides AC and BC called? Side AB ?

AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between  A and  C ? 3. Given  DEF and  GHI , if  D   G and  E   H , why is  F   I ?. legs; hypotenuse. Third s Thm. Proving Congruence – ASA and AAS. Section 4-5.

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Warm Up 1. What are sides AC and BC called? Side AB ?

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  1. AC Warm Up 1.What are sides AC and BC called? Side AB? • 2. Which side is in between A and C? • 3. Given DEF and GHI, if D  G and E  H, why is F  I? legs; hypotenuse Third s Thm.

  2. Proving Congruence – ASA and AAS Section 4-5

  3. An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

  4. Determine if you can use ASA to prove the triangles congruent. Explain.

  5. Determine if you can use ASA to prove NKL LMN. Explain.

  6. Use AAS to prove the triangles congruent. Given:X  V, YZW  YWZ, XY  VY Prove: XYZ  VYW

  7. Use ASA to prove the triangles congruent. Given:JL bisects KLM, K  M Prove:JKL  JML

  8. Lesson Quiz Identify the postulate or theorem that proves the triangles congruent. SSS or ASA ASA SAS or SSS

  9. Lesson Quiz Given: FAB  GED, ACB   DCE, AC  EC Prove: ABC  EDC

  10. Statements Reasons 1. FAB  GED 1. Given 2. BAC is a supp. of FAB; DEC is a supp. of GED. 2. Def. of supp. s 3. BAC  DEC 3.  Supp. Thm. 4. ACB  DCE; AC  EC 4. Given 5. ABC  EDC 5. ASA Steps 3,4

  11. Example of why there is no ASS in Geometry Is ABC  DBC? C  C Same Angle BC  BC Same Side AB  BD Radii of Same Circle But ABC isn’t congruent to DCB That’s why there is no ASS in Geometry!

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