What is a transversal
Any line that intersects two or more parallel lines.
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42
For any two angles that are directly next to each other, what is their relationship?
Supplementary
If a transversal cuts two parallel lines, how many angles are formed?
8
Supplementary Angles
Two angles whose measures add up to 180
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
Complimentary Angles add up to...
What is 90 degrees
When two parallel lines are cut by a transversal all angles will either be congruent (the same measure) or...
Add to 180.
What is a perpendicular line?
What are lines that cross/intersect each other.
Perpendicular Lines
Lines that intersect.
If the measure of angle 4 is 112, what is the measure of angle 6?
68. (same-side interior angles)
All same side interior angles are...
Supplementary
If the measure of angle 1 is 2x and the measure of angle 5 is 102, what is the value of x?
51
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
What is the relationship between angles 5 and 8?
Vertical Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
30
Draw and label your own diagram of parallel lines cut by a transversal with ALL angle measures
Answers may vary.
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.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
37 and Alternate Exterior.
If angle 2 is 5x and angle 6 is 20 degrees, what does x equal?
x=32
If the measure of angle 4 is 3x and the measure of angle 6 is 60, what is the value of x?
x = 40