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
42
If a pair of angles add up to a degree of 90, what are the angles called
Complementary angles
If a transversal cuts two parallel lines, how many angles are formed? Draw a diagram.
8 angles are formed
What are supplementary angles?
Two angles whose measures add up to 180 degrees
Supplementary Angles
Two angles whose measures add up to 180
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 __________.
equal
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.
Alternate angles
See white boards
If the measure of angle 4 is 112, what is the measure of angle 6? Include a reason.
68 co-interior angles
To prove that lines are parallel one must understand that same co-interior angles are ___________.
Supplementary (add to 180)
If angle 2 is 88 degrees, what does angle 6 equal. explain
88 degrees, corresponding angles
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
Corresponding angles.
See whiteboards.
What is the relationship between angles 5 and 8?
Vertically opposite angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 6? Explain!
30 Corresponding angles
what does angle 3 equal - give a reason.
45 degrees - corresponding angles
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 and congruent.
Angles around a point.
See whiteboards
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? Explain your answer.
37. Using Vertically opposite then corresponding angles.
Given that angle 2 is 82 degrees, what does is the measure of angle 3, then what is the measure of angle 4 ?
Angle 3 =82 degrees, vertically opposite
and angle 4= 98 degrees, supplementary
If angle 1 is equal to 95, what is angle 7 equal to? Explain
95 degrees - vertically opposite then corresponding.