Transversal and Parallel Lines

Vocabulary

100

Any line that intersects two or more lines.

Transversal Line

200

Two angles whose measures add up to 180 degrees.

Supplementary 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.

Corresponding Angles.

400

List the pairs of vertical angles.

Angles 1 and 3. 

Angles 2 and 4. 

Angles 5 and 7.

Angles 6 and 8.

500

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.

Vocabulary Part 2

100

These angles share a vertex but not a same side and are congruent. 

Vertical Angles.

200

Two angles whose measures add up to 90^o

Complementary Angles.

300

Define Alternate Exterior Angles

Angles that are outside of the parallel lines and on opposite sides of the transversal.

400

List the pairs of corresponding angles. 

Angles 1 and 5. 

Angles 4 and 8.

Angles 2 and 6. 

Angles 3 and 7.

500

Lines that do not intersect.

Parallel lines.

Angle Relationships

100

Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle?

42^o

200

What is the relationship between angles 3 and 5?

Alternate Interior Angles

300

If the measure of angle 7 is 112, what is the measure of angle 6?

68^o

400

What is the relationship between angles 1 and 3?

Vertical Angles

500

If the measure of angle 1 is 37^o, what is the measure of angle 7? What is the angle relationship?

 37^o, Alternate Exterior

Angle Relationships Part 2

100

What types of angles are next to each other and share a same side?

Adjacent Angles.

200

One way to prove that lines are parallel lines is through understanding that corresponding angles are?

Congruent.

300

To prove that lines are parallel one must understand that same side interior angles are?

Supplementary.

400

If the measure of angle 2 is 30^o , what is the measure of angle 8?

30^o

500

If m<1=98°, then the measures of <4 and <7 are?

<4=82^o and <7=98^o 

Algebra Attack/Random Tidbits

100

If a transversal cuts two parallel lines, how many angle measures do you need to know to figure out all 8 angle measures in the figure.

1

200

If angle B and angle C are complementary, and m<C=19^o then what is the measure of angle B?

71^o

300

If the measure of <1 is 4x-6 and the measure of <7 is 122, what is the value of x?

 x=32

400

If the measure of <4 is 150 and the measure of <6 is 3x, what is the value of x and what is the measure of <8?

<8=150; and x=50

500

If the measure of <4 is 8x+5 and the measure of <6 is 2x+35, then find the value of x and find the measure of <8?

x=5 and <8=45^o