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Geometry

Geometry. Today: Over Proof Intro 2.5 Instruction Practice. Organising is what you do before you do something, so that when you do it, it is not all mixed up. A.A. Milne. 2.5 Postulates and Proofs. Objectives: 1. Justify statements about congruent segments.

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Geometry

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  1. Geometry Today: • Over Proof Intro • 2.5 Instruction • Practice Organising is what you do before you do something, so that when you do it, it is not all mixed up. A.A. Milne

  2. 2.5 Postulates and Proofs Objectives: 1. Justify statements about congruent segments. 2. Write reasons for steps in a proof. Vocabulary: Reflexive, Symmetric, Transitive

  3. 2.5 Postulates and Proofs Terminology of Geometry Theorem: A true statement that follows as a result of other true statements. Two-column proof: numbered statements and reasons that show the logical order of an argument.

  4. 2.5 Postulates and Proofs Given: HIJK is a rectangle Prove: HK = 6 6

  5. 2.5 Postulates and Proofs Properties of Equality: Segment LengthAngle Measure Reflexive For any segment AB, For any angle A, AB = AB mA = mA Symmetric If AB = CD, then If mA = mB, CD = AB then, mB = mA Transitive If AB = CD and If mA = mB CD = EF then AB = EF and mB = mC, then mA = mC

  6. 2.5 Postulates and Proofs Now have same properties of congruence Reflexive: AB  AB A A Symmetric: If AB  CD, If A B, then CD  AB then B A Transitive: If AB  CD and If A B and CD  EF, then B C, then AB  EF A C

  7. 2.5 Postulates and Proofs 1 Given: m1 = m2 and m3 = m4 Prove: m1 = m4 2 3 4 reasons statements

  8. Geometry Assignment: • 2.5 p 131: 7, 9, 30 (set it up like in our notes, get as far as you can!), 52 Organising is what you do before you do something, so that when you do it, it is not all mixed up. A.A. Milne

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