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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 Reasons for Proofs 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

3 Reasons for Proofs 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

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

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

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

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

8 Study Guide Corollaries Corollaries Read them through on your own Read them through on your own #3 (two lines) #3 (two lines) Read through other theorems Read through other theorems Questions? 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 = 1014) x = 13

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

12 Answers to Quiz 4.5-4.7 20 Points 1) Altitude 2) Median 3) KJ and KL 4) Perpendicular Bisector 6) a) SASb) CPCTC c) ASAd) CPCTC c) ASAd) CPCTC

13 Answers to Quiz 4.5-4.7 (proof) 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

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


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