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# 3.4 Proving Lines  - PowerPoint PPT Presentation

3.4 Proving Lines . p. 150. Post. 3-4 – Corresponding s. 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. Thm 3.5 – Alt. Ext. s Converse.

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3.4 Proving Lines 

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## 3.4 Proving Lines 

p. 150

### Post. 3-4 – Corresponding s

• 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

### Thm 3.5 – Alt. Ext. s Converse

• 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

### Thm. 3.6 – Consecutive Int. s Converse

• 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

### Thm. 3.7 – Alt. Int. s Converse

• 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

### Ex: Based on the info in the diagram, is p q ? If so, give a reason.

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

### Assignment

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