Vocabulary
Draw
Angle Relationships
Name the theorem
Angle Measures
100

What is a transversal

Any line that intersects two or more 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

What is the measure of angle y

58

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


Angle 1 is congruent to angle 5

If parallel lines, then corresponding angles are congruent.

200

What is the measure of angle x 

122

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


The m∠4 + m∠6 =180

If parallel lines, then same side interior angles are congruent.

300

What is the correct equation to find the value of x

7x-5+5x+19=180

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?

What are Vertical Angles.

400

∠3 is congruent to ∠6, therefore line a is parallel to line m.

If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.

400

What is the value of x 

13.8

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

What is 37 and Alternate Exterior.

500

if <3=<7 is this enough to say the two lines are parallel justify why

yes because if alt. int. angles are congruent then lines are parallel

500

Find the measure of the missing angle 

measure of the missing angle = 8