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
What is 42
100
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship?
What is supplementary
100
If a transversal cuts two parallel lines, how many angles are formed?
What are 8
200
What are supplementary angles?
Two angles whose measures add up to 180 degrees
200
Complementary Angles
Two angles whose measures add up to 90
200
What is the relationship between angles 3 and 6 ?
What are Alternate Interior Angles.
200
One way to prove that lines are parallel lines is through understanding that corresponding angles are
What is congruent
200

What is the interior angles theorem?


If line a and line m are parallel, and t is a transversal, then angle 3 is congruent to angle 6.

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?

What is 68. (Same-side interior angles)

300
To prove that lines are parallel one must understand that same side interior angles are.
What is supplementary
300
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
What is 4x-6=122 +6 +6 4x=128 x=32
400
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
400

Corresponding Angles

If two parallel lines are intersected by a transversal, these angles are located in the some location on both of the parallel lines.

400

What is the relationship between angles 5 and 8?

What are Vertical Angles.

400
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
What is 30.
400

If the measure of angle 6 = 75 and the measure of angle 7 = 3x, what is the value of x?


What is x=25

500
What are Alternate Interior Angles?
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 (consecutive)

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 1 is 37 degrees, what is the measure of angle 2? What is the angle relationship?

What is 143 and Supplementary Angles.

500

 Given that a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:

What is angle 3 = 82 degrees and angle 4 = 98 degrees

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?

What is 5x+3+8x-5=180 13x-2=180 13x=182 x=14 

Angle 4 = 5(14)+3 = 73 degrees 

Angle 6 = 8(14)-5 = 107 degrees