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Lesson 27 NYS COMMON CORE MATHEMATICS CURRICULUM Name:___________________________________ Period:________ Date:_________ M1 GEOMETRY Lesson 27 Practice with Proofs Warm Up - Share 1. Use the diagram at the right to identify congruent parts if the given information is known to be true. Then give the reason why those parts are congruent. a. If Μ Μ Μ Μ π΅π· bisects β π΄π΅πΆ, thenβ¦ _______________________ Μ Μ Μ Μ , thenβ¦ ______________________ b. If Μ Μ Μ Μ π΄π΅ β πΆπ΅ Μ Μ Μ Μ thenβ¦____________________ c. If π· is the midpoint of π΄πΆ d. If Μ Μ Μ Μ π΅π· β₯ Μ Μ Μ Μ π΄πΆ thenβ¦_____________________________________ e. If β π΄ β β πΆ, thenβ¦__________________________ f. If Μ Μ Μ Μ π΅π· bisects Μ Μ Μ Μ π΄πΆ thenβ¦___________________________ 2. Use the diagram at the right to identify congruent parts if the given information is known to be true. Then give the reason why those parts are congruent a. If Μ Μ Μ Μ π π β₯ Μ Μ Μ Μ ππ , thenβ¦____________________ Μ Μ Μ Μ , thenβ¦____________________ Μ Μ Μ Μ β₯ ππ b. If π π 3. Answer the following questions a. What does C.P.C.T.C. stand for? __________________________________________________________ b. Before you can use CPCTC you first need to prove that two triangles are ___________________________ c. List all the corresponding congruent parts of the triangles if βπ΄π΅πΆ β βπππ. (Drawing a diagram may help.) Corresponding β Angles: _______________ _______________ _______________ Corresponding β Sides: _______________ _______________ _______________ NYS COMMON CORE MATHEMATICS CURRICULUM Name:___________________________________ Μ Μ Μ Μ and β π β β π 4. Given: π is the midpoint of ππ Prove: β π β β π 5. 6. Lesson 27 Period:________ Date:_________ M1 GEOMETRY NYS COMMON CORE MATHEMATICS CURRICULUM Name:___________________________________ 7. 8. Lesson 27 Period:________ Date:_________ M1 GEOMETRY