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BELL WORK 1) List the five ways to prove two triangles congruent. 2) Complete each sentence below: Class starts when the _______________. • We do not _____________when the teacher is talking. ___________________are to be treated with respect. LETS USE CPCTC! Objective: Be able to use CPCTC to find unknowns in congruent triangles! Are these triangles congruent? By which postulate/theorem? L J ΔLJK MNK _____ N K @ _____ M Oh, and what is the Reflexive Property again? It says something is equal to itself. EX ÐA @ ÐA AB @ AB We learn by doing, and in the process you're going to fall on your face a few times... though I didn't think you'd take it quite that literally. C.P.C.T.C. Once you have shown triangles are congruent, then you can make some CONCLUSIONS about all of the sides and __________) angles corresponding parts (_______ of those triangles! Corresponding Parts of Congruent Triangles are CONGRUENT!! Are the triangles congruent? By which postulate or theorem? B Y Z C A What other parts of the triangles are congruent by CPCTC? ÐB @ ÐY AB @ ZY BC @ YX X Yes; ASA If <B= 3x and ,Y = 5x –9, find x. 9 x 2 3x = 5x - 9 9 = 2x Given: 1 2 C 3 4 L SL SR Prove: 3 4 1 S 2 Given CS CS 2. _______________ 2. Reflexive SAS 3 4 4. _______________ CPCTC 4. ___________ R Given: Prove: RC HV AR EH CA VE C R H A V R H E RC HV ; AR EH; CA VE 1. Given 1. _____________________ CRA VHE 2. _____________________ 2. SSS R H CPCTC 3. _____________________ 3. ________ State why the two triangles are congruent and write the congruence statement. Also list the other pairs of parts that are congruent by CPCTC. R C ÐY @ ÐQ Y Q P T AAS CT @ RP CY @ RP A geometry class is trying to find the distance across a small lake. The distances they measured are shown in the diagram. Explain how to use their measurements to find the distance across the lake. 30 yd 40 yd 40 yd 24.5 yd 30 yd Vertical angles are congruent. The triangles are congruent by SAS. The width of the lake has to be 24.5 yd by CPCTC. http://www.authorstream.com /Presentation/mrfollett106463-review-trianglecongruence-geometry-mathbasketball-education-pptpowerpoint/