Studied by 6 peopleThis 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
Note
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