1.   Find the measures of two supplementary angles, and if and
    A. 36, 144 B. 39, 141
    C. 38, 142 D. 37, 143
    Hint
  2.   Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4.
    A. A, B, and C form on equilateral triangle.
    B. A, B, and C are noncollinear.
    C. A, B, and C form a right triangle.
    D. A, B, and C are collinear.
    Hint
  3.   Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle.
    A. If three points do not form a triangle, then they are not noncollinear.
    B. If three points are not noncollinear, then they do not form a triangle.
    C. If three points do not form a triangle, then they are noncollinear.
    D. If three points form a triangle, then they are noncollinear.
    Hint
  4.   The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
    A. inductive reasoning B. detachment reasoning
    C. deductive reasoning D. reasonable doubt
    Hint
  5.   Which statement follows from statements (1) and (2) by the Law of Syllogism?

(1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral.

    A. If an object is an equilateral, then it is a square. B. An object is a square.
    C. If an object is a square, then it is an equilateral. D. An object is a rhombus.
    Hint
  6.   ''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion.
    A. The sum of 8 and 24 must be even.
    B. If the numbers 8 and 24 are odd, then their sum is 32.
    C. The sum of 8 and 24 must be odd.
    D. If the numbers 8 and 24 are even, then their sum is 32.
    Hint
  7.   Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS.
    A. Symmetric Property (=) B. Reflexive Property (=)
    C. Substitution Property (=) D. Distributive Property (=)
    Hint
  8.   Find XY on the number line shown.
   
    A. 4 B. 0
    C. 7 D. -7
    Hint
  9.   Find PQ for P(2, 7) and Q(-4, 2). Round to the nearest tenth.
    A. 7.8 B. 5.4
    C. 6 D. -7.8
    Hint
  10.   Make a conjecture based on the following information. M is obtuse.
    A. M is acute B. mM = 30
    C. M is straight D. mM is not 180
    Hint
  11.   To show that a conjecture is false, you need to provide one _____.
    A. counterexample B. guess
    C. possibility D. theorem
    Hint
  12.   What is the negation of the conclusion of the following conditional?
All birds can fly.
    A. It cannot fly. B. It is not a bird.
    C. It is a bird D. It can fly.
    Hint
  13.   ''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment?
    A. 1 and 2 both have a measure of 45.
    B. Both1 and 2 are obtuse.
    C. 1 and 2 are congruent.
    D. 1 and 2 are not congruent.
    Hint
  14.   Find the precision for a measurement of 24 meters.
    A. 0.5 m B. 5 m
    C. 1 m D. 10 m
    Hint
  15.   What is an acceptable range for a measurement of 60.5 centimeters?
    A. 604 mm to 606 mm B. 60.25 cm to 60.75 cm
    C. 604.5 mm to 605.5 mm D. 60 cm to 61 cm
    Hint
  16.   If and then is _____?
    A. acute. B. right.
    C. straight. D. obtuse.
    Hint
  17.   Find the perimeter of a regular pentagon with a side measure of 57 centimeters.
    A. 649 cm B. 285 cm
    C. 228 cm D. 342 cm
    Hint
  18.   A __________ is a compound statement formed by joining two or more statements with the word or.
    A. conjunction B. truth value
    C. negation D. disjunction
    Hint
  19.   Write a truth table for pq.
    A. B.
    C. D.
    Hint
  20.   Construct a truth table for pq.
    A.
    B.
    C.
    D.
    Hint

Glencoe
The McGraw-Hill Companies