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Reasons for Proofs

1) 1)Given 2) Definition of Midpoint 3) Reflexive 4) SSS. 2) 1) Given 2) Definition of Perpendicular Lines 3) Substitution 4) Reflexive 5) ASA. Reasons for Proofs. 3) 1) Given 2) Definition of Perpendicular Lines 3) Substitution 4) Reflexive

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Reasons for Proofs

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  1. 1) 1)Given 2) Definition of Midpoint 3) Reflexive 4) SSS 2) 1) Given 2) Definition of Perpendicular Lines 3) Substitution 4) Reflexive 5) ASA Reasons for Proofs

  2. 3) 1) Given 2) Definition of Perpendicular Lines 3) Substitution 4) Reflexive 5) SAS 4) 1) Given 2) Vertical Angle Theorem 3) ASA 4) CPCTC Reasons for Proofs

  3. 5) 1) Given 2) Definition of Midpoint 3) Vertical Angle Theorem 4) SAS 5) CPCTC 6) 1) Given 2) Definition of Midpoint 3) Vertical Angle Theorem 4) ASA 5) CPCTC Reasons for Proofs

  4. Review Chapter 4 Test is tomorrow! Notebooks with flash cards due tomorrow! Late work due tomorrow!

  5. Study Guide • Vocab • CPCTC • AFTER 2 congruent triangles • Median • Middle • Altitude • 90° • Perpendicular Bisector

  6. Study Guide • Postulates and Theorems to Prove Triangles Congruent • Draw a picture for each one • Remember, these are to be used with 2 triangles

  7. Study Guide • Other Postulates and Theorems • #1-2 • Used on only 1 triangle • #3-4 • Underline: “perpendicular bisector” and “endpoints” • Answer: 1 letter: A • #5-6 • Underline: “bisector of an angle” and “sides” • Answer: 2 letters: AB

  8. Study Guide • Corollaries • Read them through on your own • #3 (two lines) • Read through other theorems • Questions?

  9. Answers to Quiz 4.1-4.4 34 Points 1) FYX 2) YFX 3) 2 4) XY 5) Corresponding Parts of Congruent Triangles are Congruent

  10. Answers to Quiz 4.1-4.4 6) ADC, SSS 7) None, None 8) XWV, ASA 9) EHG, ASA 10) SRO, SAS 11) None, None 13) x = 10 14) x = 13

  11. 1) 2) 3) 4) 1) Given 2) Reflexive 3) ASA 4) CPCTC Answers to Quiz 4.1-4.4 (proof)

  12. Answers to Quiz 4.5-4.7 20 Points 1) Altitude 2) Median 3) KJ and KL 4) Perpendicular Bisector 6) a) SAS b) CPCTC c) ASA d) CPCTC

  13. 1) GI bisects FGH 2/3) 3/2) 4) 5) 1) Given 2/3) Definition of Angle Bisector 3/2) Reflexive 4) AAS 5) CPCTC Answers to Quiz 4.5-4.7 (proof)

  14. Homework Chapter 4 Review Worksheet Notebooks due tomorrow Late work due tomorrow Study!

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