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Warm up 1.) Use the figure on the right to write all congruent angles. 2.) Write the property of congruence. E .4 = A If A = B.then B= A If A = B and B =C then 4 = C LESSON: Goomot

Warm up 1.) Use the figure on the right to write all congruent angles. 2.) Write the property of congruence. E .4 = A If A = B.then B= A If A = B and B =C then 4 = C LESSON: Goomot

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section: Chapter Questions
Problem 2GP
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Warm up 1.) Use the figure on the right to write all congruent angles. 2.) Write the property of congruence. E ovo19 If A = B.then B= A If A = B and B=C then A = C LESSON: Geometric Proofs Learning Target: I can use geometric properties / theorems / postulates to write Proofs. Success Criteria: I will successfully write the justification for each step when proving geometric statements. Geometric Properties We have discussed the RST (Reflexive, Symmetric, and Transitive) properties of equality. We could prove that these also apply for congruence... but we won't. We are just going to accept it... PROPERTIES OF CONGRUENCE REFLEXIVE PROPERTY OF For any geometric figure A, Aa A CONGRUENCE SYMMETRIC PROPERTY OF If Aa B., then Ba A CONGRUENCE TRANSITIVE PROPERTY OF If A B and BC then 4C CONGRUENCE Additional Reasons for Proofs DEFINITIONS POSTULATES PREVIOUSLY PROVED THEOREMS ALGEBRAIC PROPERTIES Elementary Geometric Proofs Using Definitions Prove: XY = BC Given: XY = BC Reasons Statements Prove: m2 A = m4Z Given: ZA =Z Reasons Statements
Transcribed Image Text:Warm up 1.) Use the figure on the right to write all congruent angles. 2.) Write the property of congruence. E ovo19 If A = B.then B= A If A = B and B=C then A = C LESSON: Geometric Proofs Learning Target: I can use geometric properties / theorems / postulates to write Proofs. Success Criteria: I will successfully write the justification for each step when proving geometric statements. Geometric Properties We have discussed the RST (Reflexive, Symmetric, and Transitive) properties of equality. We could prove that these also apply for congruence... but we won't. We are just going to accept it... PROPERTIES OF CONGRUENCE REFLEXIVE PROPERTY OF For any geometric figure A, Aa A CONGRUENCE SYMMETRIC PROPERTY OF If Aa B., then Ba A CONGRUENCE TRANSITIVE PROPERTY OF If A B and BC then 4C CONGRUENCE Additional Reasons for Proofs DEFINITIONS POSTULATES PREVIOUSLY PROVED THEOREMS ALGEBRAIC PROPERTIES Elementary Geometric Proofs Using Definitions Prove: XY = BC Given: XY = BC Reasons Statements Prove: m2 A = m4Z Given: ZA =Z Reasons Statements
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