Two angles that are across from each other when two lines intersect.
100
A statement of the form: "If x=2, then 2x = 4" is called what?
A conditional
100
For the given diagram, identify 4 pairs of linear pairs.
Possible answers:
7,8
7,1
1,2
2,8
5,3
5,6
6,4
4,3
100
Solve for x: x+3 = 5
x = 2
100
Using the given diagram, in a proof, what would be the reason to explain why angle 5 equals angle 8?
The Vertical Angles Theorem.
200
What is the definition of the Linear Pair Postulate?
Two angles that form a linear pair have a sum of 180 degrees.
200
What is the converse of "If today is Monday, then it is not Thanksgiving"?
If it is not Thanksgiving, then today is Monday.
200
For the given diagram, what are all of the vertical angles?
7,2
1,8
4,5
3,6
200
Solve for x: 2x + 8 = 10
x = 1
200
Using the given diagram, in a proof, what would be the reason to explain why angle 2 plus angle 4 equals 180 degrees?
The Linear Pair Postulate.
300
The mathematical way to represent an odd integer is...
2n+1, where n is an integer.
300
What is inverse of: "If is not dark, then it is 10pm"?
If it is dark, then it is not 10pm.
300
For the given diagram, if angle 5 equals 70 degrees, what does angle 8 equal?
Angle 8 equals 110 degrees.
300
Solve for x: 6(x+3) = 54
x = 6
300
Using the given diagram, in a proof, what would be the reason to explain why angle 3 equals angle 7?
The Parallel Line Postulate
400
What is the definition of corresponding angles?
Two angles that are in the same relative position with respect to each parallel line and the transversal.
400
What is the contrapositive of: "If two lines are not parallel, then corresponding angles are congruent"?
If corresponding angles are not congruent, then two lines are parallel.
400
For the given diagram, if angle 6 equals 30 degrees, what does angle 1 equal?
Angle 1 equals 30 degrees.
400
Solve for x: x + 5 = 2x + 4
x = 1
400
Using the given diagram, in a proof, what would be the reason to explain why angle 1 equals angle 8 if your previous statements include: angle 1 = angle 5 and angle 5 = angle 8?
The Substitution Property of Equality.
500
What is the Parallel Line Postulate?
In a plane, two lines cut by a transversal are parallel if and only if corresponding angles have equal measure.
500
What is the truth value for the inverse of this conditional: "If an integer is even, then is divisible by 5"?
False.
The inverse is: If an integer is not even, then it is not divisible by 5.
500
For the given diagram, if angle 3 equals 50 degrees, what does angle 16 equal?
Angle 16 equals 130 degrees.
500
Solve for x: 7(x-2) = 4(2x+8)
x = -46
500
Using the given diagram, write a proof to prove that angle 3 equals angle 6.