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Transcript 
Geometry
• Agenda
1. discuss Tests/Spirals
2. 3-1 Properties of Parallel Lines
3. Practice Assignment
4. EXIT
Chapter 3
3-1 Properties of _______Lines
transversal
• A line that ________ two coplanar lines at
two distinct points.
lines a and b are
coplanar lines
line t is the transversal
Alternate interior angle pairs
Interior angles are
3 4 5 and 6.
Alternate interior angle pairs
are interior angles that are
d_________ from each other.
Alternate interior angle pairs are ___,___ and ___,___.
Same-side interior angle pairs
Interior angles are
3 4 5 and 6.
Same-side interior angle pairs
are interior angles that are on
The ________ _______ of the transversal.
Same-side interior angle pairs are ___,___ and ___,___.
Corresponding angle pairs
Corresponding angle pairs
are one interior angle and one
exterior angle that are in the
________ position with respect to
each line.
Corresponding angle pairs are ___,___ ; ___,___ ;
___,___ and ___,___.
Name angle pairs
• Alt. int. s
• Same-side int. s
• Corres. s
Postulate 3-1
Corresponding Angles Postulate
• If a transversal intersects two parallel
lines, then corresponding angles are
____________.
Theorem 3-1
Alternate Interior Angles Theorem
• If a transversal intersects two parallel
lines, then alternate interior angles are
___________.
Theorem 3-2
Same-side Interior Angles Theorem
• If a transversal intersects two parallel
lines, then same-side interior angles are
_________________.
Example #1
• Find the angle measures.
m2=35º
m6=____
m4=____
m3=____
m8=____
Example #2
• Find the angle measures.
m1=____
m2=____
m3=____
m4=____
m5=____
m6=____
m7=____
Example #3
• Find x if m3 = 12x - 8
and m5 = 3x + 10
Example #4
• Determine which lines are parallel if:
a. 52
b. 5 supple 6
c. 23
d. 75
Example #5
• Find x and y.
Example #6
• Find x and y.
Example #7
• Given: a||b
• Prove: 13
1. a||b
2. 14
3. 43
4. 13
Example #8
• Given: a||b
• Prove: 1 supple 2
1. a||b
2. m2+m3=180
3. 31
4. m2+m1=180
5. 1 supple 2
• Practice
– WB 3-1 #1-16
• EXIT
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