Two lines that never intersect or meet
Parallel Lines
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.
Same Side Interior Angles (Consecutive Interior)
What is the relationship between angles 6 and 8?
They are adjacent angles.
If a pair of adjacent angles formed by intersecting lines are linear pairs, what is their relationship?
Supplementary (add to 180)
Two angles whose measures add up to 180 degrees
Supplementary Angles
Two angles whose measures add up to 90 degrees
Complementary Angles.
What is the relationship between angles 3 and 6?
Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are ________.
congruent
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.
Corresponding Angles.
A pair of adjacent angles formed by intersecting lines.
Linear Pair Angles.
If the measure of angle 8 is 112, what is the measure of angle 6?
68
To prove that lines are parallel one must understand that same side interior angles are __________.
Supplementary
Congruent angles formed by two intersecting lines
Vertical Angles.
If two parallel lines are intersected by a transversal these angles are located on the outside of the two parallel lines and on the same side of the transversal.
Same Side Exterior Angles.
If the measure of <3 is 150 and the measure of <6 is 3x, what is the value of x and what is the measure of <7?
x=50
If the measure of angle 2 is 30 degrees, what is the measure of angle 7?
30
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
Alternate Interior Angles.
A line that intersects two or more coplanar lines.
Transversal
If the measure of <1 is 4x-6 and the measure of <8 is 122, what is the value of x?
x=32
Given that l || m, m<1=98°, then the measures of <3 and <8 are:
82 and 98 respectively