Angle Pairs
Proving Lines are Parallel
Parallel vs. Perpendicular
Writing Parallel and Perpendicular Lines
Lines and Angles
100
∠ 9 and ∠ 16
What are Alternate Exterior Angles?
100
Consecutive interior converse says angles are supplementary.
What is lines are parallel?
100
Parallel, Perpendicular, or Neither?
slope of Lines QR = 2, slope of Line ST = 1/2
What is neither?
100
The graph of the equation y = -2 is a line
A. parallel to the x-axis
B. parallel to the y-axis
C. passing through the origin
D. passing through the point (-2,0)
What is A. parallel to the x-axis?
100
Prove Line AC || Line EG
What is ∠DCF = ∠EFC?
What is ∠CFG = ∠ACF?
What is ∠ABF = ∠GFB?
What is ∠DBF = ∠EFB?
200
∠ 6 and ∠ 13.
What are Consecutive Interior Angles
(aka Same Side Interior)
200
m∠ 2 = m∠ 13.
State the parallel lines and theorem.
What is l ll m by Alternate Exterior Angle Converse?
200
There exists a line that goes through points (2, 7) and (k, -3) and is parallel to line y=2x+3. What is the value of k?
What is k=-3?
200
An equation perpendicular to y = 3x − 1 passing through (−6, 2).
What is y = -1/3x?
200
Solve for x.
What is x=85 degrees?
300
∠ 1 and ∠ 5.
What are Corresponding Angles?
300
The value of x.
What is x = 15 ?
300
There exists a line that goes through points (1, 5) and (2, k) and is perpendicular to line y=(1/3)x+3. What is the value of k?
What is k=2?
300
Line m passes through the points (2, -7) and (4, -9) and is parallel to a line.
A. y = -x - 5
B. y = x - 9
C. x = 5
D. y = -1
What is A. y = -x - 5
300
Solve for x
What is x=150 degrees?
400
l ll m, find the value of x.
What is x = 17 by Corresponding Angles
400
The value of x.
What is x = 6 by the Alternate Exterior Angles Converse
400
Parallel, Perpendicular, or Neither?
Line 1: 3y + 6 = 2x
Line 2: 2y - 3x = 6
What is neither?
400
An equation parallel to y = (3/2)x + 1, that has a y-intercept of -2.
What is y = (3/2)x - 2
400
Give the name of the theorem and statement that could be used to prove Line m || Line n given ∠ 2 and ∠ 6 are congruent.
What is the Corresponding Angles Converse?
Statement: If two lines in a plane are cut by a transversal creating corresponding angles that are congruent, then lines m and n are parallel.
500
l ∥ m find the values of x and y.
What is x = 8 by Alternate Interior Angles and y = 21 by by Linear Pairs
500
Given: a ll b and n ll m
Prove: ∠ 1 = ∠ 15.
What are: (Many Answers)
1. ∠ 1 = ∠ 5 by Corresponding Angles and ∠ 5 = ∠ 15 by Alternate Exterior Angles
2. ∠ 1 = ∠ 11 by Alternate Exterior Angles and ∠ 5 = ∠ 15 by Corresponding Angles
500
A line parallel to the given equation y = (-5/2)x - 7
A. 2x + 5y = -5
B. 2x - 5y = 30
C. 5x + 2y = 4
D. 5x - 2y =8
What is C. 5x + 2y = 4?
500
An equation perpendicular to 4x+2y = 10, passing through (0, 10).
y = (1/2)x + 10
500
Give the name of the theorem and statement that could be used to prove ∠ 3 and ∠ 6 are congruent given Line m || Line n.
What is the Alternate Interior Angles Theorem?
Statement: If two lines in a plane are parallel and cut by a transversal, then the alternate interior angles are congruent.