Angles
10.1: Pairs of Lines and Angles
10.2: Parallel Lines
10.3: Parallel and Perpendicular Lines
100
What are supplementary angles?
Two angles that add up to 180 degrees.
100
Name a line that is parallel to line HG and contains point F?
line EF
100
Name the other angles that also have a measure of 92 degrees
Angles 4, 6, and 7
100
What are the 3 steps that help you find the distance from a point to a line.
1. Find the perpendicular line
2. Find the intersection point
3. Use distance formula to find the distance between the 2 points
200
What are vertical angles?
Two angles that are opposite of each other that are formed by intersecting lines.
200
Which line is skew to line CF and contains point A
line AD
200
Name the angles that have a measure of 30 degrees.
Angles 1, 4, 5, and 8
200
Give the definitions for both parallel and perpendicular lines. Then explain what you know about their slopes.
Parallel lines are two lines on the same plane that never cross. Parallel lines have the same slope.
Perpendicular lines cross at a 90 degree angle. Their slopes are opposite reciprocals of each other.
300
Angles 1 and 5 are what type of angles?
Corresponding Angles
300
Which two lines are parallel and how do you know?
Line MK and line LS are parallel, because they both have a triangle on their line indicating that they are parallel
300
Find the measures of angle 1 and 2, and explain how you know.
Angle 1 is 110 degrees, vertical angles
Angle 2 is 70 degrees, consecutive interior angles or supplementary
300
When finding the distance between the point A (2, -1) and the line y = -x + 4, write the equation of the line that is perpendicular and goes through the point.
y = x - 3
400
Angles 3 and 6 represent what type of angles?
Alternate Interior Angles
400
Is line PN parallel to line KM? Explain how you know.
No, they are not parallel because the two lines cross. Parallel lines do not cross.
400
Lines m and n are parallel. Find the value of x.
x = 15
400
Find the distance from the point (-6, 4) to the line
y = - 3/4x + 1
1.2 units
500
Angles 2 and 7 are what type of angles?
Alternate Exterior Angles
500
Is line PR perpendicular to line NP?
No, because line PQ is perpendicular to line PN passing through point P, so PR cannot also be a perpendicular line because it can only have one line perpendicular through P.
500
Find the value of x.
x = 35
500
Find the distance between the parallel lines y = 3x + 6 and y = 3x - 2. Round your answer to the nearest tenth.
2.5 units.