Lesson 3-5Proving Lines Parallel

Identify Parallel Lines

A. Given 1 3, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer.

Identify Parallel Lines

A. Given 1 3, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer.

Answer: Yes, because <1 & <3 are corresponding ang

Identify Parallel Lines

B. Given m1 = 103 and m4 = 100, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer.

Identify Parallel Lines

B. Given m1 = 103 and m4 = 100, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer.

Answer: NO, because if lines a and c were II then <1 & <4 would be congruent; AIA

A. Yes; ℓ ║ n

B. Yes; m ║ n

C. Yes; ℓ ║ m

D. It is not possible to prove any of the lines parallel.

A. Given 1 5, is it possible to prove that any of the lines shown are parallel?

A. Yes; ℓ ║ n

B. Yes; m ║ n

C. Yes; ℓ ║ m

D. It is not possible to prove any of the lines parallel.

B. Given m4 = 105 and m5 = 70, is it possible to prove that any of the lines shown are parallel?

Find mZYN so that || . Show your work.

Use Angle Relationships

Use Angle Relationships

ALGEBRA Find x so that || .

A. x = 60

B. x = 9

C. x = 12

D. x = 12

A. The two horizontal lines are parallel.

B. The two vertical lines are parallel.

C. The vertical lines are perpendicular to the horizontal lines.

D. All of these statements are true.

GAMES In the game Tic-Tac-Toe, four lines intersect to form a square with four right angles in the middle of the grid. Is it possible to prove any of the lines parallel or perpendicular? Choose the best answer.