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
Two lines in a plane are parallel if they are everywhere ______________
Equidistant
a way of reasoning or thinking that uses facts
Deductive reasoning
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 distance from a point to a line or from a line to a line is measured using a ______________ __________
Perpendicular Segment
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 don't intersect and are not parallel
Skew
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
In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other
Perpendicular Transversal Theorem
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 lines cut by a transversal, these angles are outside the lines
Exterior Angles
If two PARALLEL lines are cut by a transversal, then corresponding angles are _____________
Congruent
If two angles form a right angle then they are this
Complementary (Complement Theorem)
AB = BA
Symmetric Property
Two lines cut by a transversal, these angles are between the lines
Interior Angles
If two PARALLEL lines are cut by a transversal then Consecutive Interior Angles are ______________
Supplementary