CK-12 Geometry Concepts
http://www.ck12.org Chapter 2. Reasoning and Proof TABLE2.8: p q T T T F F T F F Next, we need to figure out whenp∨qis true, bas ...
2.6. Truth Tables http://www.ck12.org TABLE2.11: p q r ∼q ∼q∨r T T T F T T T F F F T F T T T T F F T T F T T F T F T F F F F F T ...
http://www.ck12.org Chapter 2. Reasoning and Proof First, make columns forp, then add in∼pand finally, evaluatep∧∼p. ...
2.6. Truth Tables http://www.ck12.org TABLE2.13: p ∼p p∧∼p T F F F T F First, make columns forpandq, then add in∼pand∼q. Finall ...
http://www.ck12.org Chapter 2. Reasoning and Proof 12. p→∼r r ∴∼p 13. ∼q→r q ∴∼r 14. p→(r→s) p ∴r→s 15. r→q r→s ∴q→s ...
2.7. Properties of Equality and Congruence http://www.ck12.org 2.7 Properties of Equality and Congruence Here you’ll review the ...
http://www.ck12.org Chapter 2. Reasoning and Proof TABLE2.16:(continued) Examples Multiplication Property of Equal- ity Ifa=b, t ...
2.7. Properties of Equality and Congruence http://www.ck12.org AB+BC=AC Segment Addition Postulate 8 + 17 = 20 Substitution PoE ...
http://www.ck12.org Chapter 2. Reasoning and Proof 3.x= 12 Practice For questions 1-8, solve each equation and justify each step ...
2.8. Two-Column Proofs http://www.ck12.org 2.8 Two-Column Proofs Here you’ll learn how to write a two-column geometric proof. Wh ...
http://www.ck12.org Chapter 2. Reasoning and Proof Example A Write a two-column proof for the following: IfA,B,C, andDare points ...
2.8. Two-Column Proofs http://www.ck12.org Example C TheRight Angle Theoremstates that if two angles are right angles, then the ...
http://www.ck12.org Chapter 2. Reasoning and Proof TABLE2.23:(continued) Statement Reason 3.^6 1 and^6 2 are supplementary (^6) ...
2.8. Two-Column Proofs http://www.ck12.org TABLE2.25: Statement Reason 1.^6 Lis supplementary to^6 M,^6 Pis supplementary to (^6 ...
http://www.ck12.org Chapter 2. Reasoning and Proof TABLE2.26:(continued) Statement Reason 5.m^6 ACE= 2 m^6 ACH 5. Division Po ...
2.8. Two-Column Proofs http://www.ck12.org Subtraction Property of Equality Multiplication Property of Equality Division Proper ...
http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines CHAPTER 3 Parallel and Perpendicular Lines Chapter Outline 3.1 P ...
3.1. Parallel and Skew Lines http://www.ck12.org 3.1 Parallel and Skew Lines Here you’ll learn about parallel and skew lines. Wh ...
http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines Skew linesare lines that are in different planes and never inter ...
3.1. Parallel and Skew Lines http://www.ck12.org ForXY, how many parallel lines would pass through pointD? Name this/these line ...
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