General
What is the sum of the interior angles that form a linear pair?
180 degrees
What type of angle measures less than 90°?
What is a line that intersects two or more lines called?
transversal
What is the slope of the line (y=3x+7)?
3
What is the slope-intercept form of a linear equation?
y=mx+b
If two angles are vertical angles and one measures 73°, what is the other angle?
73 degrees
If two angles are complementary and one measures 37°, what is the other angle?
53 degrees
What are angles located between two lines and on opposite sides of a transversal called?
Alternate interior angles
What is the slope of a line perpendicular to a line with slope 4?
-1/4
In the equation (y=-4x+9), what are the slope and y-intercept?
Slope = (-4); y-intercept = 9.
Two supplementary angles measure (3x+10) and (2x+20). Find (x).
x=30
Two vertical angles measure (5x-15) and (3x+25). Find (x).
x=20
What is the converse of the Corresponding Angles Postulate used to prove?
That two lines are parallel when corresponding angles are congruent.
Are the lines (y=2x+5) and (y=2x-3) parallel, perpendicular, or neither?
Parallel
Rewrite (2x+y=7) in slope-intercept form.
(y=-2x+7).
If two parallel lines are cut by a transversal and one corresponding angle measures 115°, what is the measure of the other corresponding angle?
115 degrees
Two consecutive interior angles measure (3x+15) and (2x+15). If the lines are parallel, find (x).
x=30
What are lines that intersect to form right angles called?
Perpendicular lines.
A line has a slope of 2/3, What is the slope of a perpendicular line, and what is the slope of a parallel line?
Perpendicular: -3/2. Parallel: 2/3.
Rewrite the equation (3x+2y=12) in slope-intercept form.
y=-3/2x+6,
Two consecutive interior angles measure (4x+10) and (2x+20). If the lines are parallel, find (x).
x=25
Two alternate interior angles measure (4x+12) and (6x-28). If the lines are parallel, find (x).
x=20
What converse states that consecutive interior angles are supplementary when two parallel lines are cut by a transversal?
Consecutive Interior Angles Converse
Are the lines (y=2x+3) and (y=1/2x+5) parallel, perpendicular, or neither?
Neither
Write an equation for a line perpendicular to (y=-2x+8) that passes through (0,3).
y=1/2x+3