Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Line (geometry) wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euler angles wikipedia , lookup
Integer triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Four color theorem wikipedia , lookup
Day 8 - Proofs using CPCTC.notebook January 08, 2013 Get your assignment sheets out and fill it out Grab a worksheet packet from the back table Get out a couple of sheets of paper and a pencil Topic: Proofs using CPCTC Essential Question: What must you show in a proof before you can use CPCTC. 14 1/7-1/8 15 1/7-1/8 Congruent Triangle proof classwork practice # 1-7, 9, 12-14, 16 Pg. 271-272 # 4,7-9, 11,17-22 Homework all 1 Day 8 - Proofs using CPCTC.notebook January 08, 2013 2 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Classwork : Congruent Triangles Proof practice # 1-7, 9, 12-14, 16 All 3 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Answers 4 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Notes: CPCTC What does CPCTC stand for? C P C T C 5 Day 8 - Proofs using CPCTC.notebook January 08, 2013 In other words, if two trianlges are congruent, then their corresponding parts (angles and sides) are congruent. Suppose ∆RST≅∆LMO. What angles and sides are congruent because of CPCTC. 6 Day 8 - Proofs using CPCTC.notebook January 08, 2013 CPCTC will be used as a reason in a proof to say 2 sides or angles are congruent in a triangle after you have already proven the triangle are congruent using one of the congruence postulates. B Ex. Given: AB ≅ BC; <ABD ≅ < CBD Prove: AD ≅ CD A C D 7 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Sometime, CPCTC is used as a step to prove something else in a given diagram, such as midpoints, perpendicular lines, or parallel lines. # 20 Change the "Given" and "Prove" statement to the one given. Given: BM ≅MN; EM ≅ MZ Prove: BE II ZN 8 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Guided Practice: Complete proofs # 21 and 22 Change the "Prove" statement in # 22 to read "AC bisects <BAD 9 Day 8 - Proofs using CPCTC.notebook January 08, 2013 10 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Prove: AC bisects <BAD 11 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Using CPCTC with algebra to find angle sizes or side lengths A D B C AB = 5x - 12 BC = 3x + 2 CD = 8x - 42 Find X, then find the lengths of AB, BC, and CD. Is ABCD a rhombus (4 equal sides) 12 Day 8 - Proofs using CPCTC.notebook January 08, 2013 Classwork/Homework From book or on worksheet, Pg. 271-272 # 4, 7-9, 11,17-22 all 13 Day 8 - Proofs using CPCTC.notebook January 08, 2013 14