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Warm Up

Week 7. Warm Up. 11.29.11. Label the information:. C. 1) ∠C is a right angle. 2) ∠A ≅ ∠B. D. •. 3) AB = 8. 4) bisects. A. B. Re 1. •. C. •. D. P. A. B. If C is on the perp bisector then CA = CB. If DA = DB, then D is on the perp bisector.

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Warm Up

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  1. Week 7 Warm Up 11.29.11 Label the information: C 1) ∠C is a right angle. 2) ∠A ≅ ∠B D • 3) AB = 8 4) bisects A B

  2. Re 1 • C • D P A B If C is on the perp bisector then CA = CB. If DA = DB, then D is on the perp bisector.

  3. Distance from point to line The length of the perpendicular segment from the point to the line. • Q Ex 1 m P The distance between Q and the line m is QP.

  4. Theorem 5.3 B • A D If m∠BAD = m∠CAD, then DB = DC. C

  5. Theorem 5.4 B • A D If DB = DC, then m∠BAD = m∠CAD. C

  6. DA bisects ∠BAC Ex 2 Prove that DB = DC ∠BAD ≅ ∠CAD A Definition of Bisector ≅ C Reflexive Property ∆BAD ≅ ∆CAD AAS D B ≅ CPCSC DB = DC Definition of Congruent Segments

  7. is the bisector of ∠LPN. Do 1 : Prove that ML = MN. M N L P Assignment Handout - 5.1B

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