1

Parallel Lines

Topic Pages in Packet Assignment:

(Honors TXTBK)

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:

November 22, 2010

2

Name: ______________________________________Date: _______ Per.: ____

Parallel Lines Unit Day 1

Theorem #1: Alternate Interior Angles Theorem

Theorem #2: Alternate Exterior Angles Theorem

Theorem #3: Corresponding Angles Theorem

Theorem #4: Same Side Interior Angles Theorem

Theorem #5: Same Side Exterior Angles Theorem

3

Here are some other theorems that are used with Parallel Lines

Theorem:

Theorem:

1. Find each angle measure:

a) ABC

b) DCE

c) FCB

4

2. If c d, find the m .

3. Find x and y in the diagram.

4.

5

Proof

5.

6

Name: ______________________________________Date: _______ Per.: ____

Parallel Lines Unit Day 2

Proving Lines Parallel

Warm - Up

7

In each case, state the theorem that proves the angles are congruent or supplementary given

that the lines are parallel.

1) 2) 3)

4) 5) 6)

In each case, use the converse that proves a || b.

1) 2) 3)

4) 5) 6)

1

1

2

2

1

2

1

2

1

2

1

2

1

1

2

2

1

2

1

2

1

2

a

b

a

b

a

b

a

b

a

b

a

b

1

2

8

Proofs

7. Given: 1 2

3 1

Prove: XY || WV

8. Given: 1 is supplementary 3

Prove: a || b

Y

2

1

a

b

3

X

W

V

3

1

2

9

9.

10.

10

Name: ______________________________________Date: _______ Per.: ____

Parallel Lines Unit Day 3

Warm - Up

Ex 1:

11

Ex 2:

Ex 3:

12

Ex 4:

Ex 5:

13

Name: ______________________________________Date: _______ Per.: ____

Parallel Lines Unit Day 4

Warm - Up

14

1.

2.

15

3.

4.

16

5.

Given: Quadrilateral ABCF, BDE, CDF, AFE, bisects and ║

Prove:

D

A F

B C

E