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 angles is 42 degrees, what is the measure of the second angle
What is 42
If a pair of add up to a degree of 180, 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 ?
What are 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.
What are Corresponding Angles.
Linear Pair 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?
What is 68. (same-side interior angles)
To prove that lines are parallel one must understand that same side interior angles are ___________.
What is supplementary
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.
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?
What are Vertical Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
What is 30.
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.
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?
What is 37 and Alternate Exterior.
Given that angle 2 is 82 degrees, what does 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.