Angle Relationships
Proving Lines Parallel
Triangles and Parallel Lines
Parallel vs Perpendicular Lines
Surprise!
(from Topic 0 or Topic 1)
(from Topic 0 or Topic 1)
100
Given two parallel lines cut by a transversal, which of the following pairs of angles must be supplementary?
a) Corresponding
b) Consecutive Interior Angles
c) Alternate Interior Angles
d) Alternate Exterior Angles
e) Consecutive Exterior Angles
f) Vertical Angles
b) Consecutive Interior Angles
e) Consecutive Exterior Angles
100
Given that angle 1 is congruent to angle 5, which lines can be proven parallel (if any)?
k || w
100
Find the missing angle
45 + 70 + x = 180
x = 65
100
What type of slope do parallel lines have?
same slope!
100
What type of correlation is shown?
positive, negative, or none?
positive
200
Classify angle C and angle E
Consecutive Interior Angles
200
Given that angle 15 is congruent to angle 13, which lines can be proven parallel (if any)?
cannot be proven
Vertical Angles do NOT prove parallel
200
Find the exterior angle of the triangle
n = 70 + 60
n = 130
200
If one line has a slope m = 3, what would the slope of the line perpendicular to it be?
m = -1/3
200
What is the straight line called that goes through a scatter plot, that best represents the relationship of the graph and helps with predictions?
Line of Best Fit
300
Given that line L and line M are parallel, name all of the angles that are congruent to angle R
P, D, A
300
Given the angle 13 + angle 11 = 180, which converse proves that k || w
Consecutive Interior Angles Converse
300
If the measurement of angle 7 = 45, what is the measurement of angle 2?
Measurement of angle 2 would be 45 because the are Alternate Interior Angles
300
Which of the following lines would be parallel to the line y = 5x + 4?
a) y = -1/5 x + 2
b) y = -5x - 4
c) y = 5x - 5
d) y = 1/5 x + 7
c
They both have the slope of 5.
300
64
400
Classify the angles AND find the measurement of the missing angle?
Alternate Interior Angles
missing angle = 125
400
Given that angle 9 is congruent to angle 7, which converse proves that x || t
Corresponding Angles Converse
400
If the measurement of angle 7 is 35 and angle 1 is 65, what is the measurement of angle 4?
measurement of angle 4 is 80 because angles 7, 1, and 4 should be 180 since they create a line.
400
A line passes through the point (0, 0) and is perpendicular to the line y=−3x+2. What is its equation?
a) y = 3x
b) y = -3/1 x
c) y = 1/3 x
d) y = -3x
c
The negative reciprocal slope of -3 is 1/3. Option c has 1/3 as the slope.
400
Find the midpoint between the following points:
(-4, 9) and (2, 1)
(-1, 5)
500
Write the equation AND solve for x
23x - 5 = 21x + 5
x = 5
500
Given that angle 13 is congruent to angle 4, which converse proves that a || b?
Alternate Exterior Angles Converse
500
If the measurement of angle 7 is 40 and the measurement of angle 1 is 60, what is the measurement of angle 3?
angle 3 = 80
Why? If angle 7 is 40, then angle 2 is also 40 (AIA).
Angle 2 + angle 1 + angle 3 = 180
40 + 60 + x =180
x = 80
500
Which of the following points lie on a line parallel to y=4x+1?
a) (1,5) and (2,9)
b) (0,0) and (1,4)
c) (1,3) and (2,5)
d) (1,1) and (2,4)
b
Option a and b both have a slope of 4 (same as the given line), however, option a is on the same line as the given line. Option b is parallel to the given line!
Hehehe... be careful :)
500
Find the distance between the given points:
(-2, 8) and (4, 0)
10