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Vocabulary
Converse of Theorems
Lines and Angles
Pairs of Angles
Parallel Lines and Transversal
100
Same-Side Interior Angles
Angles that lie on the same side of the transversal.
100
If corresponding angles are congruent then lines are parallel.
Converse of corresponding angle theorem.
100
Not coplanar, do not intersect not parallel.
Skew Lines
100
Interior
All points between two coplanar lines.
200
Alternate Exterior Angles
Angles that lie on opposite sides of the transversal.
200
If alternate interior angles are congruent then lines are parallel.
converse of alternate interior angle theorem.
200
Lines that intersect and form 90 degree angle.
Perpendicular lines.
200
Angle that measures up to 90 degrees.
A right angle.
200
Exterior.
All points outside two coplanar lines.
300
Alternate Interior Angles
Nonadjacent angles that lie on opposite sides of the transversal.
300
If same side interior angles add to 180, then lines are parallel.
Converse of same side interior angle theorem.
300
Two angles formed by intersecting lines that don't share a common side.
Vertical Angles
300
Corresponding angles
Angles on the same side of transversal either both above & below or both right & left.
400
Perpendicular Bisector
A line perpendicular to a segment at the segment's midpoint.
400
If alternate exterior angles are congruent then lines are parallel.
Converse of alternate interior angle theorem.
400
Parallel lines.
Lines that never intersect.
400
Complementary angles.
Two angles that add up to 90 degrees.
400
Angles on the interior on opposite sides of transversal.
Alternate interior angles.
500
Point-Slope Form
y-y1= m(x-x1), where m is the slope. and (x1,y1) is a given point on the line.
500
The length of the perpendicular segment between point and a line.
The shortest distance between a point and a line.
500
A line that intersects 2 coplanar lines at 2 points.
A transversal.
500
Two angles that add to 180 degrees.
Supplementary angles.
500
Same side interior angles.
Angles on interior same side of transversal.