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Geometry Ch. 2 Of Prentice Hall

21 Questions
Geometry Ch. 2 Of Prentice Hall

Geometry Ch. 2 of Prentice Hallconditionals, biconditionalscounter examples

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Questions and Answers
  • 1. 
    One way to show that a statement is NOT a good definition is to find a _____.
    • A. 

      Biconditional

    • B. 

      Conditional

    • C. 

      Converse

    • D. 

      Counterexample

  • 2. 
    Rewrite the biconditional as a conditional statement. Then write its converse and determine if the biconditional is an accurate definition.An angle is obtuse if and only if its measure is greater than ninety degrees.
    • A. 

      Yes, it is an accurate definition.

    • B. 

      No, it is not an accurate definition.

  • 3. 
    Which biconditional is a good definition?
    • A. 

      Two angles are adjacent if and only if they share a common side.

    • B. 

      A point is the midpoint of a segment if and only if it is between the endpoints of the segment.

    • C. 

      Two angles are supplementary if and only if they form a linear pair.

    • D. 

      Two lines are parallel if and only if they never intersect.

  • 4. 
    Use the Law of Detachment to draw a conclusion.A bisector of a line segment intersects the segment at its midpoint. bisects at D.
    • A. 

      D is the midpoint of Segment CE.

    • B. 

      D is the midpoint of Segment AB.

    • C. 

      Segment AB is perpendicular to Segment CE.

    • D. 

      Segment AB has the same length as Segment CE.

  • 5. 
    Which is the Law of Syllogism in symbolic form?
    • A. 

      If p → q and q → r are true statements, then p → r is a true statement.

    • B. 

      If p → q is a true statement and p is true, then q is true.

    • C. 

      If p → q is a false statement and p is false, then q is false.

    • D. 

      If p → q and q → r are false statements, then p → r is a false statement.

  • 6. 
    Select the appropriate property of equality for the statement a = a.
    • A. 

      Addition Property

    • B. 

      Reflexive Property

    • C. 

      Substitution Property

    • D. 

      Transitive Property

  • 7. 
    N the figure shown, m∠AED = 97. Which statement is false?
    • A. 

      M∠AEB = 83

    • B. 

      M∠BEC = 97

    • C. 

      ∠AEB and m∠DEC are congruent angles.

    • D. 

      # ∠BEC and m∠CED are vertical angles.

  • 8. 
    Name an angle complementary to ∠COD.
    • A. 

      ∠AOC

    • B. 

      ∠BOC

    • C. 

      ∠AOE

    • D. 

      ∠DOE

  • 9. 
  • 10. 
    Find the value of the variable.
  • 11. 
    Two angles whose sides are opposite rays are called _____. Two coplanar angles with a common side, a common vertex, and no common interior points are called _____.
    • A. 

      Adjacent angles; vertical angles

    • B. 

      Vertical angles; adjacent angles

    • C. 

      Adjacent angles; complementary angles

    • D. 

      Vertical angles; supplementary angles

  • 12. 
    Select the appropriate property of equality for the statement. If a = b, then a • c = b • c.
    • A. 

      Symmetric Property

    • B. 

      Substitution Property

    • C. 

      Multiplication Property

    • D. 

      Reflexive Property

  • 13. 
    Use the Law of Detachment to draw a conclusion.I will have room for dessert if and only if I do not finish my dinner. I finished my dinner.
    • A. 

      I do not have room for dessert.

    • B. 

      I did not finish my dinner.

    • C. 

      I had macaroni and cheese for dinner.

    • D. 

      No conclusion possible

  • 14. 
  • 15. 
  • 16. 
    Which is a counterexample that proves this conditional is false?All prime numbers are odd.
    • A. 

      14

    • B. 

      10

    • C. 

      7

    • D. 

      2

  • 17. 
  • 18. 
    Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the given statements. Franz is taller than Isabel. Isabel is shorter than Ellen. Janina is taller than Franz.
    • A. 

      Janina is shortest.

    • B. 

      Janina is taller than Isabel.

    • C. 

      Franz is the tallest.

    • D. 

      Ellen is shorter than Isabel.

  • 19. 
    Complete the proof.Given: ∠A and ∠B are right angles.Prove: ∠A ≈ ∠BBy the definition of a. _____, m∠A = 90 and m∠B = 90. By the b. _____ Property, m∠A = m∠B or ∠A ≅ ∠B.
  • 20. 
    Use the Law of Syllogism to draw a conclusion.If a country's population is more than 1.033 billion, then it has a higher population than India. If a country has a higher population than India, then it is has the highest population in the world.
  • 21. 
    Find the value of the variables.