What is a transversal
Any line that intersects two or more parallel lines.
Two lines that never intersect and are COplanar
Parallel
What does the consecutive interior angles converse say?
When a pair of consecutive interior angles are supplementary, then their lines are parallel.
What are supplementary angles?
Bonus Points for a drawing.
Two angles whose measures add up to 180 degrees
Two lines that intersect and form a right angle
Perpendicular Lines
What is the relationship between angles 3 and 6 ?
Bonus Points for describing their relationship to each other.
What are Alternate Interior Angles.
What is the alternate interior angles converse theorem say?
If a pair of alternate interior angles are congruent, then their lines are parallel.
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on each parallel lines.
Bonus Points for a drawing.
Double Bonus for describing their relationship to each other.
What are Corresponding Angles.
Two lines that do not intersect and are NOT coplanar
Skew Lines
If the measure of angle 4 is 112, what is the measure of angle 6?
What kind of angle add up to 180 degrees?
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x? Bonus Points for the measures of ∠ 1 and ∠ 5.
What is x=32
What are vertical angles?
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Double Bonus for describing their relationship to each other.
Congruent angles formed by two intersecting lines. These angles are located across from each other.
Alternate Exterior Angles.
Bonus Points for a written description.
Double Bonus for describing their relationship to each other.
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?
Congruent
If the measure of angle 2 is 30 degrees, what is the measure of angle 6?
What is 30.
If the measure of angle 6 = 75 and the measure of angle 7=3x, what is the value of x? Bonus Points for the measures of ∠ 6 and ∠ 7.
What is x=25
What are Alternate Interior Angles?
Bonus Points for a drawing.
Double Bonus for describing their relationship to each other.
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.
Consecutive Interior
Bonus Points for a written description.
Double Bonus for describing their relationship to each other.
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 a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:
What is angle 3 =82 degrees and angle 4= 98 degrees
If the measure of angle 4= 5x+3 and the measure of angle 6= 8x-5, then find the value of x? Bonus Points for the measures of ∠ 6 and ∠ 4.
What is 5x+3+8x-5=180 13x-2=180 13x=182 x=14 Angle 4=5(14)+3=73 degrees Angle 6= 8(14)-5=107 degrees