Geometry, angles and congruency

This set, has all the terms you need to know for learning angle congruency, and theorems for congruency proofs

skew lines

Lines that do not intersect and are not coplanar

Transversal Line

a line that intersects two or more coplanar lines

corresponding angles

lie on the same side of the transversal

with same positions

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the transversal

same side interior angles

two interior angles on the same side of the transversal

alternate exterior angles

nonadjacent exterior angles that lie on opposite sides of the transversal

same side exterior angles

two exterior angles on the same side of the transversal

vertical angles theorem

Vertical angles are congruent

congruent supplements therom

If two angles are supplementary to the same angle, then the two angles are congruent

Congruent Complements Theorem

If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

same side interior angles postulate

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

alternate interior angles theorem

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

corresponding angles theorem

If a transversal intersects two parallel lines, then the corresponding angles are congruent.

alternate exterior angles theorem

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent

Converse of the Corresponding Angles therom

If two lines and transversal form corresponding angles that are congruent, then the lines are parallel.

Converse of the Alternate Interior Angles Theorem

If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.

Converse of Alternate Exterior Angles therom

If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.

parrallel postulate

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

Triangle Angle Sum Theorem

The sum of the measures of the angles of a triangle is 180.

perpendicular transversal theorem

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

exterior angle of a polygon

an angle formed by a side and an extension of an adjacent side

remote interior angles

the angles of a triangle that are not adjacent to a given exterior angle

Parallel Postulate

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

Slope

The steepness of a line on a graph rise over run

point slope form

y-y1\=m(x-x1)

slope-intercept form

y\=mx+b