Theorems, Postulates, and Definitions
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What does it mean if two lines are parallel?
What is they never touch
What type of angles are 3 and 6
What are alternate interior angles
If angle 1 is 38, angle 8 is this
What is 38
This is what you start your proof with
What is the Given
What are linear pairs?
What are two adjacent angles that make a straight line?
We can use this to "show our work" in geometry
What is a proof
1 and 2 are this
What are adjacent angles or linear pairs
If angle 3 is 50, angle 5 is this
What is 130
x and y are lines and have to be this in order to use the following:
Same Side Interior Angle Theorem
Same Side Exterior Angle Theorem
Alternate Interior Angle Theorem
Alternate Exterior Angle Theorem
Corresponding Angles Postulate
What is parallel
Angles that are in the same position at different intersections are called this
What are corresponding angles
This object intersects two or more lines
What is a transversal
What are 1+8 and 2+7
Solve for x if angle 3 is 4x and angle 4 is 2x
What is 30
If a=b and b=c, then this would be used to say a=c
What is the transitive property of equality
Describe the location of alternate exterior angles
What is outside of the parallel lines and opposite sides of the transversal
All of the postulates and theorems related to transversals through parallel lines show angles as being one of these two...
What are congruent or supplementary
Name all vertical angle pairs
What are 1+4, 2+3, 5+8, 6+7
What is x=20
If x is parallel to y and angle 4 is 56, this theorem would prove that angle 5 is 56
What is the alternate interior angle theorem
If the same side interior angles are supplementary, then the lines are parallel
What is the Converse Same Side Interior Angle Theorem
If a theorem claims "if X then Y", then the converse theorem claims this...
What is "If Y, then X"
What type of angles are 1 and 6
There are no relationships
Solve for x if angle 7 is 5x-2y and angle 8 is 5x-2y+x+14y-6=180
What is -2y+31
If angle 3 is 40 and angle 5 is 140, this theorem could be used to prove that x and y are parallel
What is the Converse Same Side Interior Angle Theorem