Vocabulary
Any line that intersects two or more coplanar 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
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 adjacent angles formed by intersecting lines are a linear pair, what is their relationship?
What is supplementary
What property states that
a(b+c) = ab+ac
Two angles whose measures add up to 180 degrees
What are supplementary angles
Two angles whose measures add up to 90 degrees
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
What property simplifies
10x - 7 = 3
to
10x = 10
Addition property of equality
When 2 parallel lines are both intersected by a transversal, these angles are in matching positions; both on the same side of the transversal and both above or below the line
What are Corresponding Angles.
A pair of adjacent angles that share a side and form a line
What are Linear Pair Angles.
If the measure of angle 8 is 112, what is the measure of angle 6?
What is 68.
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 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.
What is the relationship between angles 1 and 4?
What are Vertical Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 7?
What is 30.
If the measure of <3 is 150 and the measure of <6 is 3x, what is the value of x?
What is 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.
What are parallel lines.
If the measure of angle 1 is 37 degrees, what is the measure of angle 8? What is the angle relationship?
What is 37, Alternate Exterior
Given that l || m, m<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
What is x=14