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2.6: Chapter 2 Review

Difficulty Level: At Grade Created by: CK-12
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\begin{align*}& \rightarrow && \text{if-then} && \sim \ \text{not}\\ & \therefore && \text{therefore}\end{align*}if-thentherefore not

Keywords and Vocabulary

Inductive Reasoning

  • Inductive Reasoning
  • Conjecture
  • Counterexample

Conditional Statements

  • Conditional Statement (If-Then Statement)
  • Hypothesis
  • Conclusion
  • Converse
  • Inverse
  • Contrapositive
  • Biconditional Statement

Deductive Reasoning

  • Logic
  • Deductive Reasoning
  • Law of Detachment
  • Law of Contrapositive
  • Law of Syllogism

Algebraic & Congruence Properties

  • Reflexive Property of Equality
  • Symmetric Property of Equality
  • 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

Proofs about Angle Pairs & Segments

  • Right Angle Theorem
  • Same Angle Supplements Theorem
  • Same Angle Complements Theorem

Review

Match the definition or description with the correct word.

  1. \begin{align*}5 = x\end{align*}5=x and \begin{align*}y + 4 = x\end{align*}y+4=x, then \begin{align*}5 = y +4\end{align*}5=y+4 — A. Law of Contrapositive
  2. An educated guess — B. Inductive Reasoning
  3. \begin{align*}6(2a + 1) = 12a +12\end{align*}6(2a+1)=12a+12 — C. Inverse
  4. \begin{align*}2, 4, 8, 16, 32, \ldots\end{align*}2,4,8,16,32, — D. Transitive Property of Equality
  5. \begin{align*}\overline{AB} \cong \overline{CD}\end{align*}AB¯¯¯¯¯¯¯¯CD¯¯¯¯¯¯¯¯ and \begin{align*}\overline{CD} \cong \overline{AB}\end{align*}CD¯¯¯¯¯¯¯¯AB¯¯¯¯¯¯¯¯ — E. Counterexample
  6. \begin{align*}\sim p \rightarrow \sim q\end{align*}pq — F. Conjecture
  7. Conclusions drawn from facts. — G. Deductive Reasoning
  8. If I study, I will get an “\begin{align*}A\end{align*}A” on the test. I did not get an \begin{align*}A\end{align*}A. Therefore, I didn’t study. — H. Distributive Property
  9. \begin{align*}\angle A\end{align*}A and \begin{align*}\angle B\end{align*}B are right angles, therefore \begin{align*}\angle A \cong \angle B\end{align*}AB. — I. Symmetric Property of Congruence
  10. 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, 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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