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Session 6 Daily Check

and are midsegments of the triangle. Find the length of RT and UW. (2 points each) 2) Use the Triangle Proportionality Theorem to solve for x. (3 points each) a) b). Session 6 Daily Check. Homework Review.

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Session 6 Daily Check

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  1. and are midsegments of the triangle. • Find the length of RT and UW. (2 points each) • 2) Use the Triangle Proportionality Theorem to solve for x. • (3 points each) • a) b) Session 6 Daily Check

  2. Homework Review Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  3. CCGPS Analytic GeometryDay 6 (8-21-13) UNIT QUESTION: How do I prove geometric theorems involving lines, angles, triangles and parallelograms? Standards: MCC9-12.G.SRT.1-5, MCC9-12.A.CO.6-13 Today’s Question: What does it mean for two triangles to be congruent? Standard: MCC9-12.G.SRT5, CO.7-8

  4. 5-4 Congruent Triangles Congruent triangles have congruent sides and congruent angles. The parts of congruent triangles that “match” are called corresponding parts. Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  5. Complete each congruence statement. B A C D F DEF E Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  6. Complete each congruence statement. B A C E D ECD Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  7. Complete each congruence statement. T G K H GTK Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  8. CPCTC CorrespondingParts of CongruentTriangles are Congruent Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  9. O C D G T A Fill in the blanks O If CAT  DOG, then A  ___ because ________. CPCTC Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  10. If XYZ  ABC, then ___ and Y  ___ because _______. Fill in the blanks If FJH  QRS, then ___ and F  ___ because _______. Q CPCTC CPCTC B Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

  11. Congruence of Triangles Essential Question: What does it mean for two triangles to be congruent and what does CPCTC mean?

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

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

  14. Side-Side-Side (SSS) Congruence Postulate 4 4 5 5 6 6 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

  16. Ex 1 DFE UVW by ____ SSS

  17. Ex 2 R S Y X T Z Determine whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. ΔRST ΔYZX by SSS

  18. Ex 3 R B C A T S Determine whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. Not congruent. Not enough Information to Tell

  19. Ex 4 Determine whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. P R Q S ΔPQSΔPRS by SAS

  20. Ex 5 Determine whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. P S U Q R T ΔPQRΔSTU by SSS

  21. Ex 6 Determine whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. M P R Q N Not congruent. Not enough Information to Tell

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

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

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

  25. SSS SAS ASA AAS NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent

  26. Ex 1 DEF NLM by ____ ASA

  27. D L M F N E Ex 2 What other pair of angles needs to be marked so that the two triangles are congruent by AAS?

  28. D L M F N E Ex 3 What other pair of angles needs to be marked so that the two triangles are congruent by ASA?

  29. G K I H J Determine whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. Ex 4 ΔGIH ΔJIK by AAS

  30. B A C D E Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. Ex 5 ΔABC ΔEDC by ASA

  31. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. Ex 6 E A C B D ΔACB ΔECD by SAS

  32. Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. Ex 7 J T L K V U Not possible

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