Parallel Lines and Transversals
Special Angle Relationships
Proving Lines Parallel
Linear Pairs/Vertical Angles
100
If two parallel lines are cut by a transversal, what is the relationship between the same side 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 alternate interior angles formed?
Alternate Interiori 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
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 same side interior angles are _____________.
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
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
If two parallel lines are cut by a transversal, what is the relationship between the corresponding angles formed?
Corresponding Angles are congruent
400
If two parallel lines are cut by a transversal, then same side interior angles are supplementary, and if one of those same side 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 interior 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 interior angles must be supplementary.
400
Solve for x: 
x = 38
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 interior angles and are supplementary, does that prove that the lines are parallel? Why?
Yes. Same side interior angles are supplementary.
500
Solve for x: 
x = 15