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Writing Proofs 2
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Result
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Choose the conclusion(s) that may be deduced from the given information by using a definition, postulate, or theorem.

1. Angles 1 and 2 are vertical angles.
(a) Angles 1 and 2 are congruent.
(b) Angles 1 and 2 are supplementary.
Both (a) and (b)
Neither (a) nor (b)
Answer: Angles 1 and 2 are congruent.
2. Angles PIA and AIR form a linear pair.
(a) Angles PIA and AIR are supplementary.
(b) Angles PIA and AIR are complementary.
Both (a) and (b)
Neither (a) nor (b)
Answer: Angles PIA and AIR are supplementary.
3. Angles 1 and 2 are congruent. Angles 1 and 2 are supplementary.
(a) Angles 1 and 2 are complementary.
(b) Angles 1 and 2 are right angles.
Both (a) and (b)
Neither (a) nor (b)
Answer: Angles 1 and 2 are right angles.
4. Angles A and B are complementary. Angles B and C are complementary.
(a) Angles A and C are supplementary.
(b) Angles A and C are complementary.
Both (a) and (b)
Neither (a) nor (b)
Answer: Neither (a) nor (b); angles A and C are congruent.
5. Angles D and E are supplementary. Angles E and F are supplementary.
(a) Angles D and F are supplementary.
(b) Angles D and F are congruent.
Both (a) and (b)
Neither (a) nor (b)
Answer: Angles D and F are congruent.
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