Any line that intersects two or more parallel lines.
What is a transversal?
Corresponding Angles
Straight lines that never intersect
If angle 1 is 55 degrees, draw and find ALL ANGLES.
Angle 1, 4, 5, and 8 are 55 degrees.
Angle 2, 3, 6, and 7 are 125 degrees.
Find the slope of (-3,9) and (2,1)
-8/5
In Triangle ABC, angle A is 37 degrees, angle B is 68 degrees, what is the measure of angle C?
75 degrees
What are supplementary angles?
What are they also known as?
Two angles whose measures add up to 180 degrees.
Linear Pairs
Same-Side Exterior Angles
Two angles whose measures add up to 90
Write the equation of a line parallel to y=8+3x and through the point (5,3)
y=3x-12
Find x if the remote interior angles are represented by x+3 and x, and the exterior angle measures 149 degrees.
yes
What are angles that add up to 90 degrees?
Complementary angles
Write an equation of a line through (-3,4) and perpendicular to y=-9x+11
y=1/9x+13/3
In Triangle GHI, if angle G is x, angle H is 2x, and angle I is 3x, what are the missing angle measures?
30, 60, 90
Name the angle relations we have studied that add up to 180 degrees. (2 answers, name the third for 50 extra points)
supplementary (linear pairs) and same-side interior
same-side exterior
What is the relationship between angles 5 and 8? If angle 5 = 40+x and angle 8 = 2x-4, what is x? What is the measure of angle 5? What is the measure of angle 8?
yes
Write an equation of a line perpendicular to y=3x+3 and y=6+3x and goes through the point (12,0)
y=-1/3x+4
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?
Triangle Exterior Angle Theorem
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 angle 1 is 2x and angle 4 is 90 - x, find the value of x.
x = 30
Write the equation of a line parallel to y=5037x-1748 through the point (234,905)
y=5037x-1177753
Find x when the remote interior angles are represented by 2x and 90 degrees, and the exterior angle is represented by 4x+10.
x=40