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Reasoning and Writing of Proofs 2
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Result
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Choose the correct answer to each question.

1. What do you call a statement that is formed by interchanging the hypothesis and conclusion of a conditional statement?
inverse
converse
negation
contrapositive
Answer: converse
2. Which statement is formed by negating the hypothesis and conclusion of the converse of a conditional statement?
inverse
converse
negation
contrapositive
Answer: contrapositive
3. Which of the following is not an undefined term?
line
point
plane
angle
Answer: angle
4. What conclusion can be obtained from the given statements?

If two planes intersect, then their intersection is a line. Planes S and R intersect.

Planes S and R intersect at a line by the Law of Syllogism.
Planes S and R intersect at a point by the Law of Syllogism.
Planes S and R intersect at a line by the Law of Detachment.
Planes S and R intersect at a point by the Law of Detachment.
Answer: Planes S and R intersect at a line by the Law of Detachment.
5. Which of the following statements is true?
If two points lie on a line, then the points lie on a plane by the Line Postulate.
If two angles are vertical, then they are congruent by the Vertical Angles Theorem.
If two angles are vertical, then they do not form a linear pair by the Linear Pair Postulate.
If two angles are complementary, then the sum of their measures is 90° by the Complement Theorem.
Answer: If two angles are vertical, then they are congruent by the Vertical Angles Theorem.
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