TR3-2
Write a two-column proof for problems 1 and 2.
1.
Given: ∠1 and ∠3 are supplementary.
Given: ∠2 and ∠3 are supplementary.
2.
Prove: ∠1 ≅ ∠2 (without using the Congruent Supplements Theorem)
Given: ∠1 ≅ ∠3
Prove: ∠6 ≅ ∠4
If possible, use the Law of Detachment and/or the Law of Syllogism to
make a conclusion. Give the law used.
3. If you practice tennis every day, then you will become a better player.
Colin became a better tennis player.
4. ∠1 and ∠2 are supplementary. If two angles are supplementary, then the
sum of their measures is 180.
5. If two angles are vertical, then they are congruent. If the measures of two
angles are equal, then they are congruent.
6. If your father buys new gardening gloves, then he will work in his garden.
If he works in his garden, then he will plant tomatoes.