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Warm UP!

Warm UP!. Questions over HOMEWORK?. Skills check!. Congruence & Triangles. Congruent Triangles. Congruent triangles have congruent sides and congruent angles. The parts of congruent triangles that “match” are called corresponding parts. S. Z. 60°. R. 50 °. 70°. T. Y. 2n+10°. X.

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Warm UP!

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  1. Warm UP!

  2. Questions over HOMEWORK? Skills check!

  3. Congruence & Triangles

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

  5. S Z 60° R 50° 70° T Y 2n+10° X RST is congruent to XYZ. Find the value of n. Since  RST is congruent to XYZ, the corresponding parts are congruent. 60 = 2n+10 50 = 2n n = 25

  6. Complete each congruence statement. B DEF A C D F E

  7. Complete each congruence statement. B A ECD C E D

  8. Complete each congruence statement. GTK T G K H

  9. G J Find the value of x if GFH  IJK. x =11 K 100 F 45 (4x – 9) I H

  10. Proving Triangles are Congruent

  11. Overlapping sides are congruent in each triangle by the REFLEXIVE property Alt Int Angles are congruent given parallel lines Vertical Angles are congruent

  12. SSS SAS ASA AAS HL The Only Ways To Prove Triangles Are Congruent NO BAD WORDS

  13. C Y A B X Z Before we start…let’s get a few things straight INCLUDED ANGLE (an angle sandwich) yum yum

  14. C Y A B X Z Before we start…let’s get a few things straight INCLUDED SIDE

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

  16. Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle

  17. Angle-Side-Angle (ASA) Congruence Postulate A A S S A A Two angles and the INCLUDED side

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

  19. Congruent Right Triangles HL HYPOTENUSE AND LEG

  20. On the following slides, we will determine if the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. Then, state the postulate (rule) that you used to determine the congruency.

  21. P R Q S ΔPQSΔPRS by SAS

  22. P S U Q R T ΔPQRΔSTU by SSS

  23. R B C A T S Not congruent. Not enough Information to Tell

  24. M P R Q N Not congruent. Not enough Information to Tell

  25. G K I H J ΔGIH ΔJIK by AAS

  26. B A C D E ΔABC ΔEDC by ASA

  27. E A C B D ΔACB ΔECD by SAS

  28. J T L K V U Not possible

  29. J K L M ΔMJK ΔLKM by SAS

  30. J K U L ΔKJL ΔULM by HL

  31. T J K L V U Not possible

  32. Practice

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