Vocabulary
Draw
Angle Relationships
Angle Relationships Part 2
Angle Relationships Part 3
100
What is a transversal?
Any line that intersects two or more parallel lines.
100
Parallel lines
Straight lines that never intersect
100
Two angles are congruent. The measure of the first angles is 42 degrees. What is the measure of the second angle?
42 degrees
100
If a pair of adjacent angles formed by intersecting line are a linear pair, what is the relationship between their measures?
Supplementary (adds up to 180 degrees).
100
If a transversal cuts two parallel lines, how many angles are formed?
8
200
What are supplementary angles?
Two angles whose measures add up to 180 degrees.
200
Corresponding Angles
When 2 lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.
200
What type of angle pair are angles 3 and 6 ? 
Alternate Interior Angles.
200
What type of angle pair are angles 5 and 8?
Vertical Angles.
200
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
37 degrees, Alternate Exterior angles.
300
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.
What are Corresponding Angles.
300
Linear Pair Angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
300
If the measure of angle 4 is 112, what is the measure of angle 6?
68 degrees.
300
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
30 degrees.
300
Given that a is parallel to m and the measure of angle 5=98°, find the measures of angle 3 and angle 4.
Angle 3 = 82 degrees, angle 4 = 98 degrees
400
What are vertical angles, and what relationship do their measures have?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
400
Alternate Exterior Angles
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
400
Fill in the blank: One way to prove that two lines are parallel is through showing that their corresponding angles are ___________.
Congruent
400
Fill in the blank: One way to prove that two lines are parallel is through showing that their same side interior angles are ___________.
Supplementary
400
The Alternate Interior Angles Theorem is:
Given two lines cut by a transversal. If the two lines are parallel, then their alternate interior angles are congruent.
What is the converse of the alternate interior angles theorem?
Given two lines cut by a transversal. If the two lines' alternate interior angles are congruent, then the lines are parallel.
500
What are Alternate Interior Angles? You may draw a picture if it helps.
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.
500
Same-side Interior angles
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.
500
If the measure of angle 6 = 75 and the measure of angle 7 = 3x, what is the value of x?
x = 25
500
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
x = 32
500
If the measure of angle 4 = 5x+3 and the measure of angle 6 = 8x-5, then find the value of x and find the measure of angles 4 & 6?
x=14, Angle 4 = 73 degrees, Angle 6 = 107 degrees.