CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

2.8. Two-Column Proofs http://www.ck12.org



  • Transitive Property of Equality

  • Substitution Property of Equality

  • Addition Property of Equality

  • Subtraction Property of Equality

  • Multiplication Property of Equality

  • Division Property of Equality

  • Distributive Property

  • Reflexive Property

  • of Congruence

  • Symmetric Property

  • of Congruence

  • Transitive Property of Congruence


Chapter Review


Match the definition or description with the correct word.



  1. 5=xandy+ 4 =x, then 5=y+4 —A. Law of Contrapositive

  2. An educated guess —B. Inductive Reasoning

  3. 6( 2 a+ 1 ) = 12 a+12 —C. Inverse

  4. 2, 4, 8, 16, 32,... —D. Transitive Property of Equality
    5.AB∼=CDandCD∼=AB—E. Counterexample
    6.∼p→∼q—F. Conjecture

  5. Conclusions drawn from facts. —G. Deductive Reasoning

  6. If I study, I will get an “A” on the test. I did not get anA. Therefore, I didn’t study. —H. Distributive Property
    9.^6 Aand^6 Bare right angles, therefore^6 A∼=^6 B. —I. Symmetric Property of Congruence

  7. 2 disproves the statement: “All prime numbers are odd.” —J. Right Angle Theorem —K. Definition of Right
    Angles


Texas Instruments Resources


In the CK-12 Texas Instruments Geometry FlexBook® resource, there are graphing calculator activities designed
to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9687.

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