Algebraic Proofs
If a=b and b=c, then a=c
Transitive Property
If two angles are vertical then they are this
Congruent
(Vertical Angle Theorem)
Two coplanar lines that never intersect
Parallel Lines
Two lines cut by a transversal, these angles are outside the lines and on opposite sides of the transversal
Alternate Exterior Angles
When 2 parallel lines are cut by a transveral, alternate interior angles are ______________
Congruent
The first part of most proofs
What is the Given statement?
Perpendicular lines intersect to form four _____________ angles
Right
A line that intersects two different lines in a plane at different points
Transversal
Two lines cut by a transversal, these angles are in the same position on the same side of the transversal
Corresponding Angles
The reason for the statement that 2 angles are corresponding
Definition of corresponding angles
If B is between A and C, then AB + BC = AC
Segment addition postulate
If two congruent angles are also supplementary, then they are ____________ angles
Right
Lines that intersect and form right angles
Perpendicular
Two lines cut by a transversal, these angles are between the lines and on the same side of the transversal
Consecutive Interior or Same Side Interior
AB = 5 and AB + BC = AC, then 5 + BC = AC
Substitution Property
Measure of an angle is the sum of its two adjacent angles
Angle Addition Postulate
If two angles form a linear pair, then they are _____________
Supplementary
Two angles that are adjacent and supplementary form a __________________
Linear Pair
If two PARALLEL lines are cut by a transversal, then corresponding angles are _____________
Congruent
AB = AB
Symmetric Property
If two angles form a right angle then they are this
Complementary (Complement Theorem)
This states that if 2 lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel
Corresponding Angles Postulate Converse
Two lines cut by a transversal, these angles are between the lines on opposite sides of the transveral
Alternate Interior Angles
If two lines are cut by a transversal and Alternate Interior Angles are congruent then the lines are ______________
Parallel
A=A
Reflexive property