Lines & Planes
Postulates and properties
Angle
Angles
100

Parallel line

lines that run in the same direction (path) but never touch - they are the same distance apart at all times (because they have the same slope)

100

Transitive property

If a=b and b=c then a=c


100

Corresponding angles

Same "spot" different line

100

Consecutive exterior angles or same side exterior angles

On one side of the transversal on the exterior.

200

Parallel planes

Planes that do not intersect - (run in the same direction, equal distance apart)

200

parallel postulate

If there is a line and a point not on a line then there is exactly one line from the point parallel to the given line

200

Vertical angles

On an intersecting line and shared common vertex

200

Consecutive interior angles or same-side interior angles.

On one side of the transversal in the interior.

300

Perpendicular lines

Lines that intersect each other and continue forever

300

Transitive property of parallel lines

If two lines are parallel to the same line then they are parallel to each other


300

Alternate interior angles

Inside the parallel lines and form a z

400

Skew lines

Non coplanar lines that will never intersect and are not parallel

400

Perpendicular postulate

If there is a line and a point not on a line then there is exactly one line through the point perpendicular to the given line

400

Alternate exterior angles

The outside of the parallel lines (AKA the BUN)


500

Transversal line

A line that intersects a system of lines

500

Supplementary angles

Linear pairs