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Geometry Corresponding Parts Quiz Prep

Get ready to ace your geometry quiz with exam review questions on corresponding angles and parts of congruent triangles. Learn how to prove triangle congruence and apply CPCTC. Study exercises for a solid grasp of geometric concepts.

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Geometry Corresponding Parts Quiz Prep

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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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