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Answers for 4-2C

Geometry Section 4-2D Corresponding Parts Pg. 274 Be ready to grade 4-2C Quiz Tuesday!!! Exam Review Questions Monday. Answers for 4-2C. Complimentary True True C – 50.2 o , S – 140.2 o C – 41 o , S – 131 o C – 53 ½ o , S – 143 ½ o C – 23 o , S – 113 o

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Answers for 4-2C

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  1. Geometry Section 4-2DCorresponding PartsPg. 274Be ready to grade 4-2CQuiz Tuesday!!!Exam Review Questions Monday.

  2. Answers for 4-2C • Complimentary • True • True • C – 50.2o, S – 140.2o • C – 41o, S – 131o • C – 53 ½o , S – 143 ½o • C – 23o, S – 113o • mÐDBC = 52 ½o, mÐDBE = 127 ½o • mÐABD = 47o, mÐDBC = 43 o

  3. Answers for 3-3C – cont. • mÐEBD = 136o, mÐABD = 46o • mÐDBC = 52o, mÐABD = 38o • mÐDBC = 52o, mÐABD = 38o • 57o Book: • No, if the window ledge is straight, both angles will = 90o. • 35o

  4. Explore Given: AE @ CE ÐABE @ÐCDE ÐAEB and ÐCED are rt. Ð’s Prove: AB @ CD B C b. AE @ CE Given e. AB @ CD d. ÐABE @ÐCDE Given Given c. ÐAEB and ÐCED are rt. angles a. ÐAEB @ÐCED Right angles are @ A E D SAA f. rAEB @rCED Def. of @ triangles

  5. Theorem: Corresponding parts of congruent triangles are congruent. CPCTC If you can prove that triangles are congruent using a previous postulate, then you can prove that all parts of the triangles are congruent by using CPCTC.

  6. Example: Given: XY @ ZW YZ @ WX Prove: WX || YZ X W Y Z

  7. Properties of Congruence: Reflexive Symmetric IfÐ1 @Ð2 then Ð2 @Ð1 Transitive IfWX @ XY and XY @ YZ then WX @ YZ B AB @ AB A AB @ AB

  8. Try It: How can you prove that the triangles are congruent by using the SAS Postulate? V a. 1 marked angle and 1 marked side + the reflexive property. Which additional pairs of sides and angles could you then prove congruent by using CPCTC? S U T b. SV @ VU, ÐVST @ÐVUT and ÐSVT @ÐUVT

  9. Exercises C T A B R S 1. Write a triangle congruence statement for the triangles shown. rABC @rRST b. Which congruence postulate can be used to prove the triangles are congruent? SSS c. Once you prove the triangles are congruent, how can you show that ÐC @ÐT? CPCTC

  10. #4 Given: AC bisects ÐBAD, and CA bisects ÐBCD Prove: AD @ AB B A C D

  11. G e. EH @ GH Given H F Given c. HF @ HF Reflexive SSS CPCTC E a. rGFH @rEFH d. ÐGFH @ÐEFH b. EF @ GF

  12. R S RU @ ST Given RS || UT US@US Reflexive Property ÐRUS @ÐTSU Given T U SAS rRSU @rTUS ÐSUT @ÐUSR CPCTC Alt. Int. Бs Theorem

  13. D C 3 4 a. Ð2 e. DCBA 1 b. Ð1 f. ASA 2 c. Alt. Int. Бs are @ g. CPCTC B A d. Reflexive

  14. Homework: Practice 4-2D

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