Any line that intersects two or more parallel lines.
What is a transversal
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.
What are Same Side Interior Angles (Consecutive Interior)
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
What is 42o?
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship
What are supplementary angles?
If a transversal cuts two parallel lines, how many angle measures do you need to know to figure out all 8 angle measures in the figure.
What is 1.
Two angles whose measures add up to 180 degrees
What are supplementary angles
Two angles whose measures add up to 90o
What are Complementary Angles.
What is the relationship between angles 4 and 5?
What are Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are ______.
What is congruent?
If a transversal cuts two non-parallel lines, at least how many angles do you need to know to figure out all 8 angles in the figure?
What is 2.
When 2 parallel lines are both intersected by a transversal, these two angles occupy the same position on both of the parallel lines.
What are Corresponding Angles?
A pair of adjacent angles formed by intersecting lines.
What are Linear Pair Angles?
If the measure of angle 8 is 112o, what is the measure of angle 6?
What is 68o?
To prove that lines are parallel one must understand that same side interior angles are __________.
What is supplementary?
If the measure of <1 is 4x-6 and the measure of <8 is 122, what is the value of x?
What is 4x-6=122 +6 +6 4x=128 x=32
Congruent angles formed by two intersecting lines
What are Vertical Angles.
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines and on the same side of the transversal.
What are Same Side Exterior Angles.
The relationship between angles 1 and 4
What are Vertical Angles.
If the measure of angle 2 is 30o, what is the measure of angle 7?
What is 30o?
If the measure of <3 is 150 and the measure of <6 is 3x, what is the value of x and what is the measure of <7?
What is <7=150; and 3x=150 x=50
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.
What are Alternate Interior Angles.
Coplanar lines that do not intersect.
(hint: a plane is a flat surface which extends without end in all directions)
What are parallel lines?
If the measure of angle 1 is 37o, what is the measure of angle 8? What is the angle relationship?
What is 37o, Alternate Exterior
The measure of <1=98°, then the measures of <3 and <8 are:
What is 82 and 98 respectively
If the measure of <4 is 8x+35 and the measure of <6 is 2x+5, then find the value of x and find the measure of <8?
What is 8x+35+2x+5=180 10x+40=180 10x=140 x=14 Now plug into <4 because it is congruent (corresponding) to <8. 8(14)+35=112 so <8=112.