Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given 1 3, is it...

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Lesson 3-5 Proving Lines Parallel

Transcript of Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given 1 3, is it...

Page 1: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

Lesson 3-5Proving Lines Parallel

Page 2: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.
Page 3: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.
Page 4: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.
Page 5: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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.

Page 6: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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

Page 7: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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.

Page 8: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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

Page 9: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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?

Page 10: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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?

Page 11: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

Find mZYN so that || . Show your work.

Use Angle Relationships

Page 12: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

Use Angle Relationships

Page 13: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

ALGEBRA Find x so that || .

A. x = 60

B. x = 9

C. x = 12

D. x = 12

Page 14: Lesson 3-5 Proving Lines Parallel. Concept Example 1 Identify Parallel Lines A. Given  1   3, is it possible to prove that any of the lines shown.

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.