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

On a transversal, a pair of adjacent angles formed on a straight line that add up 180

What is linear pair

100

If a transversal cuts two parallel lines, how many TOTAL angles are formed?  How many DIFFERENT measures are made?

There are 8 total angles formed, and two different measures are formed.

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

angles that are the same size

What is congruent angles 

200

Angles 4 and 8 are alternate exterior angles.  

Angle 4 = 12x+42

Angle 8 = 15x+24

Find the value of x and the measures of both angles.

x=6

Both angles are 114 degrees

300

What are Corresponding Angles?

When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.

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

Given two supplementary angles, if one angle is 75 what is the measure of the other angle?

105

300

If the measure of angle 1 is 4x-6 and the measure of angle 5 is 122, what is the value of x?

32

400

What are vertical angles?

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

What is the relationship between angles 5 and 8 and what do we know about their measures? 

They are vertical angles and their measures are congruent.

400

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

30 degrees and corresponding

400

if the measure of 2 vertical angles are 3x-1and 2x+6, what is the value of x? What are the measures of the angles?

 x=7

Both angles are 20 degrees

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 

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 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?

What is 37 and Alternate Exterior.

500

 Given that a || m, measure of angle 5 is 98°, then the measures of angles 3 and 4 are what?  What is the relationship with angle 3?  What is the relationship with angle 4?

What is angle 3 is 82 degrees and angle 4 is 98 degrees.  Angle 5 and 3 are same-side interior.  Angle 5 and 4 are alternate interior.

500

If the measure of angle 4 is 5x+3 and the measure of angle 6 is 8x-5, then find the value of x and the measures of the angles.  What is the relationship between those angles?

 x=14

Angle 4 = 73

Angle 6 = 107

Same-Side Interior