When two lines have the same slope and go on forever without touching.
Parallel Lines
Are angle 1 and angle 8 congruent? Why/Why not?
Yes. They are opposite exterior angles.
What is the measure of angle 5?
115o
The line that cuts through two parallel lines.
Transversal
Are angle 3 and angle 6 congruent? Why/Why not?
Yes. They are opposite interior angles.
What is the measure of angle 4?
30o
What kind of angles are these?
Alternate Interior Angles
Are angle 3 and angle 5 congruent? Why or why not?
No. They are same-side interior angles which means they add to be 180 degrees.
What is the measure of angle 8?
70o
What kind of angles are these?
Alternate Exterior Angles
Are angle 1 and angle 6 congruent? Why or why not?
Example answer: angle 1 and angle 5 are corresponding angles, and angle 5 and angle 6 make a straight line, so angle 1 and angle 6 are not congruent.
Solve for x.
32
What kind of angles are these?
Corresponding Angles
Are angle 2 and angle 8 congruent? Why or why not?
No. Example answer: angle 2 and angle 6 are corresponding angles and angle 6 and angle 8 make 180 degrees so angle 2 and 8 are not congruent.
What is the measure of angle YVW?
120o