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Warm up. Solve. 1. 40. 4x – 20 . x. 2. 42. 2y + 28 . 3y – 14°. Questions over HW?. Congruent Triangles. Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts. Congruence Statement.

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40

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  1. Warm up Solve. 1. 40 4x – 20 x 2. 42 2y + 28 3y – 14°

  2. Questions over HW?

  3. Congruent Triangles Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.

  4. Congruence Statement In a congruence statement ORDER MATTERS!!!! Everything matches up.

  5. Complete each congruence statement. B If ABC  DEF, then BC  ___ EF A C D F E

  6. Complete each congruence statement. B If ABC  DEF, then A  ___ D A C D F E

  7. Complete each congruence statement. B If ABC  DEF, then C  ___ F A C D F E

  8. Fill in the blanks If CAT  DOG, then AC  ___ OD

  9. Fill in the blanks BAT  MON N T  ___ _____  ONM _____  MO NM  ____ ATB BA TB

  10. Fill in the blanks BCA   ____ ____   GFE EGF CAB

  11. Complete the congruence statement. MKL _____   JKN

  12. Complete the congruence statement. ABD _____   CBD

  13. There are 5 ways to prove triangles congruent.

  14. Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle

  15. Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides)

  16. Angle-Side-Angle (ASA) Congruence Postulate A A S S A A Two angles and the INCLUDED side (the side is in between the 2 marked angles)

  17. A A A A S S Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

  18. There are four more ways to prove triangles congruent, but they are only for RIGHT TRIANGLES…Hypotenuse Leg HL

  19. only for RIGHT TRIANGLES…Hypotenuse Angle HA

  20. only for RIGHT TRIANGLES…Leg Leg LL

  21. only for RIGHT TRIANGLES…Leg Angle LA

  22. SSS SAS ASA AAS HL HA LL LA NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent

  23. 2 markings you can add if they aren’t marked already

  24. Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent

  25. White Board Practice

  26. Ex 1 SSS, SAS, ASA, AAS, HL, or not congruent. SSS

  27. I SSS, SAS, ASA, AAS, HL, or not congruent. Ex 2 AAS

  28. Ex 3 SSS, SAS, ASA, AAS, HL, or not congruent. Not congruent.

  29. Ex 4 SSS, SAS, ASA, AAS, HL, or not congruent. SAS

  30. SSS, SAS, ASA, AAS, HL, or not congruent. Ex 5 ASA

  31. Ex 6 SSS, SAS, ASA, AAS, HL, or not congruent. SSS

  32. SSS, SAS, ASA, AAS, HL, or not congruent. Ex 7 Not congruent

  33. SSS, SAS, ASA, AAS, HL, or not congruent. Ex 8 SAS

  34. Ex 9 SSS, SAS, ASA, AAS, HL, or not congruent. AAS or SAS

  35. Ex 10 SSS, SAS, ASA, AAS, HL, or not congruent. HL

  36. HW: Practice Worksheet Both Sides

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