Second round of proofs

Question 1

WTUI: a // b WIDFY: <1 ≅ <2 (corresponding angles)

Answer 1

Corresponding < postulate

Question 2

WTUI: a // b WIDFY: <1 ≅ <2 (alt. interior angles)

Answer 2

Alternate Interior Angles Theorem

Question 3

WTUI: a // b WIDFY: <1 ≅ <2 (alt. exterior angles)

Answer 3

Alternate Exterior Angles Theorem

Question 4

WTUI: a // b WIDFY: <1 and <2 are supplementary

Answer 4

Consecutive Interior Angles Theorem

Question 5

WTUI: DIAGRAM WIDFY: m<A + m<B = 180

Answer 5

I <3 Lily thm (Linear Pair = 180)

Question 6

WTUI: <1 ≅ <2 (corresponding angles) WIDFY: a // b

Answer 6

Corresponding Angles CONVERSE Post.

Question 7

WTUI: <1 ≅ <2 (alt. interior angles) WIDFY: a // b

Answer 7

Alternate Interior Angles CONVERSE Thm

Question 8

WTUI: <1 ≅ <2 (alt. exterior angles) WIDFY: a // b

Answer 8

Alternate Exterior Angles CONVERSE Thm

Question 9

WTUI: <1 and <2 are supplementary WIDFY: a // b

Answer 9

Consecutive Interior Angles CONVERSE Thm

Question 10

WTUI: a//b and b//c WIDFY: a//c

Answer 10

Transitive Prop. of Parallel Lines

Question 11

WTUI: <1 ≅ <2 <1 and 2 are a linear pair WIDFY: a ⊥ b

Answer 11

Linear Pair Perpendicular Theorem

Question 12

WTUI: a ⊥ b & b//c WIDFY: a ⊥ c

Answer 12

Perpendicular Transversal Theorem

Question 13

WTUI: a ⊥ b & c ⊥ b WIDFY: a//c

Answer 13

Lines Perpendicular to a Transversal Thm