Parallel Lines
Parallel Lines and Transversals
Special Angle Relationships
Proving Lines Parallel
Linear Pairs/Vertical Angles
100
Sometimes, always, or never?
Skew lines ______ intersect.
Never
100
If two parallel lines are cut by a transversal, what is the relationship between the same consecutive interior angles formed?
Same side interior angles add up to 180.
100
If two parallel lines are cut by a transversal, what is the relationship between the corresponding angles formed?
Corresponding angles are congruent.
100
Two lines are cut by a transversal. If angles A and B are corresponding and the measure of angle A is 80 degrees and the measure of angle B is 90, does that prove that the lines are parallel? Why?
No. Angles A and B must be congruent.
100
Fill in the blank:
Vertical angles are ______
Linear pairs are _______
Congruent
Supplementary
200
Sometimes, always, or never?
Skew lines are _________ parallel.
Sometimes
200
If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles formed?
Alternate interior angles are congruent.
200
If two lines are parallel and cut by a transversal, then consecutive interior angles are _____________.
Name and angle measure.
Supplementary, 180 degrees
200
Two lines are cut by a transversal. If angles A and B are same side interior angles and the measure of angle A is 80 degrees and the measure of angle B is 100, does that prove that the lines are parallel? Why?
Yes. Same side interior angles add up to 180 degrees.
200
What is the value for x in the diagram. Explain what angle relationship you used. 
128 degrees, because they are vertical angles which are always congruent
300
Sometimes, always, or never?
Two parallel lines __________ lie in the same plane.
Sometimes
300
If two parallel lines are cut by a transversal, what is the relationship between the vertical angles formed?
Vertical angles are congruent.
300
If two parallel lines are cut by a transversal, and alternate interior angles are congruent, and if one of those alternate interior angles is x+15, and the other is 2x+5.
What is the value of x?
x = 10
300
Two lines are cut by a transversal. If angles A and B are alternate interior angles and the measure of angle A is 80 degrees and the measure of angle B is 100, does that prove that the lines are parallel? Why?
No. Alternate interior angles are congruent.
300
Find the value of x and explain what angle relationship you used to reach your answer.
x = 63
400
Line A is parallel to line B, and line B is parallel to line C. Is line A parallel to line C?
Yes.
400
If two parallel lines are cut by a transversal, what is the relationship between the consecutive same side exterior angles formed?
Consecutive exterior angles add up to 180.
400
If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary, and if one of those consecutive interior angles is 3x+4 and the other is 2x+6,
Find the value of x
x=34
400
Two lines are cut by a transversal. If angles A and B are same side exterior angles and the measure of angle A is 80 degrees and the measure of angle B is 80, does that prove that the lines are parallel? Why?
No. Same side exterior angles must be supplementary.
400
Solve for x: 
x = 38
500
Describe a real-world example or model of parallel lines.
Ex: Skis on a skier's feet.
500
Two parallel lines are cut by a transversal. If Angles 3 and 4 are alternate exterior angles and the measure of angle 3 is 80 degrees, what is the measure of angle 4?
80 degrees
500
If two lines are parallel and cut by a transversal, then consecutive interior angles are supplementary, and if one of those interior angles is 7x+12 and the other is 3x+8...
What are the measures of each angle?
56 degrees and 124 degrees
500
Two lines are cut by a transversal. If angles A and B are same consecutive exterior angles and are supplementary, does that prove that the lines are parallel? Why?
Yes. Same side exterior angles are supplementary.
500
Solve for x: 
x = 15