Logic
Angle Names
Parallel and Perpendicular
Parallel Lines
Angle Measures
100
What does ^ mean?
and
100
two angles that are across from one another are called?
vertical angles
100
If 2 lines are parallel they have _______ slope.
same
100
What are parallel lines?
two lines that do not intersect and have the same slope
100
Supplementary angles add up to?
180 degrees
200
What is the inverse of the statement: If it is Thursday then I have geometry class.
If it is not thursday then I do not have geometry class.
200
What is the relationship between angle 2 and angle 8
Alternate exterior
200
If I have the two equations:
y = 4x -6
y = -1/4x +10
What kind of lines are these?
perpendicular
200
What lines can i prove parallel if <1 = <9
a and b
200
if angle 1 is 45 degrees what is the measure of angle 14
45 degrees
300
What is the contrapositive of the statement: If it is raining, then I have an umbrella
If i do not have my umbrella, then it is not raining.
300
What is the relationship between angle 4 and angle 6?
Alternate interior angles
300
Find the slope of the lines AC and BD
A(1, 0) C(-3, -2)
B(-4, -5) D(8, 7)
AC= 1/2
BD= 12/12 = 1
300
What lines can I prove parallel if <12 = <14
M and N
300
If angle 7 is 100 degrees what is the measure of angle 11?
80 degrees
400
Use the law of syllogism to make a conclusion:
If it is saturday, then I am at the movies.
If I am at the movies, then I get popcorn
If it is saturday, then I get popcorn
400
What is the relationship between angle 3 and angle 6?
Consecutive interior angles
400
Write an equation for 2 parallel lines that have slopes of 2 and y intercepts at 0 and 4
y = 2x
y = 2x + 4
400
Why are A and B parallel if <3 + <6 = 180
they are consecutive interior angles
400
If angle 2 is 3x + 7 and angle 10 is 2x + 20 what is the value of x
13
500
Give an example of the law of detachment and a valid conclusion
***
500
What is the relationship between angle 5 and angle 2
supplementary angles
500
A line has an equation of y = 3x + 2
Write an equation for a perpendicular line that passes through (3, 5)
y = -1/3x - 5
500
What lines are parallel if <10 = <12
none because they are vertical angles
500
If angle 3 is 2x + 10 and angle 16 is 12x - 30
what is the measure of angle 3
18 degrees