Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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What is the contrapositive of the statement below? If you are in Reykjavik, then you are in Iceland.
a. | If you are in Reykjavik, then you are in Iceland. | b. | If you are in
Iceland, then you are in Reykjavik. | c. | If you are not in Reykjavik, then you not are
in Iceland. | d. | If you are not in Iceland, then you are not in
Reykjavik. |
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2.
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What is the converse of the statement below? If three points lie on the same line, then they are
collinear.
a. | If three points are not collinear, then they do not lie on the same
line. | b. | If three points are collinear, then they lie on the same line. | c. | If three points lie
on the same line, then they are collinear. | d. | If three points do not lie on the same line,
then they are not collinear. |
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3.
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What is the inverse of the statement below? If a polygon has three sides, then it is a triangle.
a. | If a polygon is a triangle, then it has three sides. | b. | If a polygon has
three sides, then it is a triangle. | c. | If a polygon is not a triangle, then it does
not have three sides. | d. | If a polygon does not have three sides, then it
is not a triangle. |
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4.
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What is the next number? 2, 0, 4, -2, 6,
...
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5.
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Name the postulate described. Through points A and B, there is exactly one line
l.
a. | Two Point Postulate | c. | Plane-Point Postulate | b. | Line-Point
Postulate | d. | Plane-Line
Postulate |
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6.
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a. | [1] Angle Addition Postulate [2] Subtraction Property of
Equality | b. | [1] Substitution Property of Equality [2] Transitive Property
of Equality | c. | [1] Segment Addition Postulate [2] Definition of congruent
segments | d. | [1] Segment Addition Postulate [2] Substitution Property of
Equality |
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7.
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8.
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Fill in the blanks to complete the two-column proof. Given: and are supplementary. m
= 135
Prove: m = 45 Proof:
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9.
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Give the reason for the last statement in the proof.
a. | Congruent Supplements Theorem | b. | Congruent Complements
Theorem | c. | Vertical Angles Congruence Theorem | d. | Linear Pair
Postulate |
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10.
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Give the reason for the last statement in the proof.
a. | Congruent Complements Theorem | b. | Congruent Supplements
Theorem | c. | Vertical Angles Congruence Theorem | d. | Linear Pair
Postulate |
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Short Answer
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11.
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If possible, use the Law of Syllogism to write a new conditional statement that
follows from the pair of true statements. If
x2 > 36, then x2 > 30. If x > 6, then
x2 > 36.
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12.
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Name the property of equality that the statement illustrates. If y = z, then z = y.
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13.
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Find the measures of the numbered angles.
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14.
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measures 73°. Find the measure of (The figure may not be drawn to scale.)
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15.
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Find the value of x and of y.
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Essay
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16.
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Write a proof. Given: line s is perpendicular to line t Prove:
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17.
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Write a proof. Given: bisects Prove:
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