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.

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3.4 Proving Lines 

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3 4 proving lines

3.4 Proving Lines 

p. 150


Post 3 4 corresponding s

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

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

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

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


Ex based on the info in the diagram is p q if so give a reason

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


Ex find the value of x that makes j k

The angles marked are consecutive interior s.

Therefore, they are supplementary.

x + 3x = 180

4x = 180

x = 45

Ex: Find the value of x that makes j  k .

xo 3xo

j k


Assignment

Assignment

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


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