Honors Geometry Companion Book, Volume 1

3.1.3 Proving that Lines are Parallel - Worksheet (continued)

Example 3: 10. Complete the following two-column proof. Given : ∠ 1 ≅ ∠ 2, ∠ 3 ≅ ∠ l Prove : XY || WV X W

11.  In the fire escape, m ∠ l = (l7 x + 9)º, m ∠ 2 = (l4 x + 18) ° , and x = 3. Show that the two landings are parallel.

1 2

3

1

Y

V

Proof:

2

Statements

Reasons

1. ∠ 1 ≅ ∠ 2, ∠ 3 ≅ ∠ 1 1. Given 2. ∠ 2 ≅ ∠ 3 2. a.

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3. b.

3. c.

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