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3.4 Proving Lines

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3.4 Proving Lines

p. 150

- If 2 lines are cut by a transversal so that corresponding s are , then the lines are .
** If 1 2, then l m.

1

2

l

m

- If 2 lines are cut by a transversal so that alt. ext. s are , then the lines are .
** If 1 2, then l m.

l

m

1

2

- If 2 lines are cut by a transversal so that consecutive int. s are supplementary, then the lines are .
** If 1 & 2 are supplementary, then l m.

l

m

1

2

- If 2 lines are cut by a transversal so that alt. int. s are , then the lines are .
** If 1 2, then l m.

1

2

l

m

Yes, alt. ext. s conv.

No

No

p

q

p

q

p

q

The angles marked are consecutive interior s.

Therefore, they are supplementary.

x + 3x = 180

4x = 180

x = 45

xo 3xo

j k

p. 149 (1, 3, 7-13, 19-27)