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4.2 Congruence and Triangles

4.2 Congruence and Triangles. Prove two triangles congruence. Congruent triangles. Congruent triangles have congruent angles and sides. The angles and sides must correspond. Congruent corresponding sides and corresponding angles. Meaning AB = XY; BC = YZ; AC = XZ and .

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4.2 Congruence and Triangles

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  1. 4.2 Congruence and Triangles Prove two triangles congruence

  2. Congruent triangles Congruent triangles have congruent angles and sides. The angles and sides must correspond. Congruent corresponding sides and corresponding angles. Meaning AB = XY; BC = YZ; AC = XZ and

  3. Name the congruent triangles Make sure the letters are in the appropriate order.

  4. Figures can be congruent If the sides and angles of two figures correspond, then the two figures are congruent. NOLM ≈ YXWZ

  5. Figures can be congruent If the sides and angles of two figures correspond, then the two figures are congruent. NOLM ≈ YXWZ

  6. Solve for k

  7. Which Triangles are congruent and why?

  8. Which Triangles are congruent and why? All the sides and angles are congruent

  9. Given: , O is the midpoint of MQ and PN Prove:

  10. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN

  11. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; PO = NO

  12. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO

  13. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3.

  14. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈

  15. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4.

  16. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4. #4. Alt. Int. Angles ≈

  17. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4. #4. Alt. Int. Angles ≈ #5.

  18. Given: , O is the midpoint of MQ and PN Prove: #1. O is the midpt. of #1. Given MQ and PN #2. MO = OQ; #2. Def. of midpoint PO = NO #3. #3. Vert. angles ≈ #4. #4. Alt. Int. Angles ≈ #5. #5. All parts are congruent

  19. Properties of congruent Triangles Reflexive Symmetric Transitive ( not substitution ) As any twin can tell you, even if they look alike does not make them the same person.

  20. Homework Page 206 – 210 # 10 – 28 even, 39, 42 – 56 even

  21. Homework Page 206 – 210 # 11 – 29 odd, 30 – 35, 57

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