Parallel Line Proofs Worksheet

Directions: Prepare a formal proof for each problem. Only one possible answer will be shown for each question. 1. 2. 3. Prove: If a transversal is perpendicular to one of two parallel lines, it is perpendicular to the other line. 4. 5. 6.

Honors Geometry Chapter 3 – Proofs Involving Parallel and Perpendicular Lines Practice – Proofs Involving Parallel and Perpendicular Lines No Textbook Correlation Name _____ Date _____ Period _____ Choose the word(s) that best completes the statements. 1. If two lines are cut by a transversal so that alternate interior angles are (congruent …

We are given that ∠4 and ∠5 are supplementary. By the linear pair postulate, ∠5 and ∠6 are also supplementary, because they form a linear pair. By the congruence supplements theorem, it follows that ∠4 ≅ ∠6. Therefore, by the alternate interior angles converse, g and h are parallel.

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Proofs Parallel Lines Displaying all worksheets related to – Proofs Parallel Lines . Worksheets are Using parallel lines in proofs, Proofs with parallel lines, Honors geometry chapter 3 proofs involving parallel and, Parallel lines proof work, Parallel lines and transversals work write all the, 3 parallel and perpendicular lines, Geometry beginning proofs …

Parallel Lines Proof Worksheet Name _____ Write a 2 column or flow proof on your own paper. 1. Given: l || m; ∠2 ≅ ∠4 2. Given: l || m; ∠1 ≅ ∠4

Lesson 2.6: Parallel Lines Proofs Worksheet Honors Geometry Mr. Ferwerda Name: 1. Without using a protractor, find the measures of all the lettered angles. [Given: l3 l2 a e d g l m j i c b f y z α k l4 126° l1 h l1 // l 2; l 3 // l 4] n β x w γ δ s q o p r l5 157° u t 149° In problems 2 – 6, write complete proofs. 2.

Angles formed by Parallel Lines Pages 2-5 Pages 231-232 #5,7,10,11,13,22 Proving Parallel Lines Pages 6 – 9 Pages 220-221 #’s 13,14,18,20,21,23 Page 232#16,20 Parallel Lines Proof Pages 10- 12 Pages 231-233 #’s 15,19,20,24,27 Parallel Lines Proof Pages 13-16 Finish the Proofs in the packet Parallel Lines Proofs TEST:

the lines are parallel. Proof Ex. 11, p. 142 Theorem 3.8 Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. Proof Ex. 12, p. 142 k 5 4 j k j 1 8 k 3 j 5 j k j k If ∠3 and ∠5 are supplementary, then j k. Constructing Parallel Lines