Parallel, Perpendicular, or Neither?
Parallel and Perpendicular Slope
Angles Formed by a Transversal
Converse Angles Theorems
Parallel and Perpendicular Lines
100
Are these Parallel, Perpendicular, or Neither:
y = 5x + 4 and y = -2/3x + 4.
What is Neither?
100
What is the slope of a line parallel to y=2x -5?
What is 2?
100
What are alternate interior angles?
Angles on the opposite side of the transversal inside the two lines and are always congruent.
100
Given that two lines and a transversal form alternate interior angles that are congruent, what theorem can be used to prove the two lines are parallel?
Converse of the Alternate Interior Angles Theorem
100
Two lines that intersect to form a right angle are called....
Perpendicular lines.
200
Are these Parallel, Perpendicular, or Neither:
y = 5x + 4 and y = 5x - 4.
What is parallel?
200
What is the slope of a line parallel to y= -12x + 1?
What is -12?
200
Angle 3 and angle 4 are alternate exterior angles. If the measure of angle 3 is 80 degrees, what is the measure of angle 4?
measure of angle 4 is 80 They are congruent so they have the same measure.
200
Given that two lines and a transversal form same-side exterior angles that are congruent, what can we use to prove the two lines are parallel?
Converse of the Same-Side Exterior Angles Theorem
200
The following symbol is used to denote what kind of lines?
∣∣
Parallel
300
Are these Parallel, Perpendicular, or Neither:
y = 5x + 4 and y= - 1/5x + 14
What is perpendicular?
300
What is the slope of a line perpendicular to y= 2x -5?
What is -1/2?
300
What kind of angles are 2 and 7?
Alternate exterior angles
300
Given angle h is congruent to angle c, can we prove the two lines parallel? Why or why not?
No, the angles are vertical angles.
300
The slopes of parallel lines are...
EQUAL
400
Are these Parallel, Perpendicular, or Neither:
y = 2/3x -1 and y = -2/3x + 4.
What is Neither?
400
What is the slope of a line perpendicular to
y=-2/3x + 6?
What is 3/2?
400
What kind of angles are 3 and 7?
Corresponding Angles
400
If angle 1 is congruent to angle 2, how can we prove line m and line n are parallel?
Converse of the Corresponding Angles Postulate
400
The following symbol is used to denote what kind of angles?
⊥
Perpendicular
500
Are these Parallel, Perpendicular, or Neither:
y = -15x + 4 and y = 1/15x+ 2.
What is perpendicular?
500
What is the slope of a line perpendicular to
y= 5x + 7?
What is -1/5?
500
If the measure of angle 6 is 60 degrees, what is the measure of angle 3?
120 degrees
500
Given angle b and angle c are supplementary, what can we use to prove that line m is parallel to line n?
Converse of the Same-Side Interior Angles Theorem
500
How do you find the slope of perpendicular lines? (How do you find the negative reciprocal of a number?)
change the sign
flip the fraction