What is a transversal?
Any line that intersects two or more parallel lines.
Parallel lines
Straight lines that never intersect
Two angles are congruent. The measure of the first angle is 42 degrees, what is the measure of the second angle?
42 degrees
If a pair of angles adds up to 180 degrees , what are the angles called?
Supplementary angles
If a transversal cuts two parallel lines, how many angles are formed?
8 angles are formed
What are supplementary angles?
Two angles whose measures add up to 180 degrees.
Complementary Angles
Two angles whose measures add up to 90
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles (=)
One way to prove that lines are parallel lines is through understanding that corresponding angles are __________.
Congruent (=)
If two parallel lines are cut by a ____________, there will be 8 angles
Transversal
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
Supplementary Angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
If the measure of angle 4 is 112, what is the measure of angle 6?
68 degrees
To prove that lines are parallel one must understand that same side interior angles are ___________.
Supplementary (=180 degrees)
If angle 2 is 90 degrees, what does angle 3 equal.
90 degrees.
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
(opposite angles that are equal to each other)
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.
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 degrees
What does angle 3 equal?
45 degrees
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.
(opposite side, inside)
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.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
37 degrees
Given that angle 2 is 82 degrees, what do angle 3 and angle 4 equal?
Angle 3 =82 degrees and angle 4= 98 degrees
If angle 1 is equal to 95, what is angle 4 equal to?
85 degrees.