Math Theorems/Postulates
Right Angles Congruency Theorem
Any two right angles are congruent.
Supplement Postulate
If two angles form a linear pair, then they are supplementary
Third Angle Theorem
If two angles of one triangle are congruent to two angles of another, then the third angles is congruent.
PSSIAS Theorem
If two parallel lines are cut by a transversal, then Same-Side Interior Angles are Supplementary.
PAEC Theorem
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent
PAIC Theorem
If two parallel lines are cut by a transversal, then alternate interior angles are congruent
PCAC Postulate
If two parallel lines are cut by a transversal, then the corresponding angles are congruent
Supplement Theorem
Supplement of congruent angles are congruent
Angles Sum of a point Postulate
The Sum of a measure of the angle at a point is 360
Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measure of its two remote interior angle.
Regular Polygon Interior Angle Theorem
The measure of each angle of a regular n-gon is (n - 2) 180 / N
Vertical Angles Theorem
The measure of the vertical angles are equal or the vertical angles are congruent
The Triangle Interior Angle Theorem
The sum of the degree measures of the angle of a triangle is 180.
Quadrilateral Interior Angle Theorem
The sum of the measure of the angles of a convex quadrilateral is 360.
Polygon Interior Angle Theorem
The sum of the measures of the angle of a convex polygon with n sides is (n - 2) 180.
Polygon Exterior Angle Theorem
The sum of the measures of the exterior angles, one at each vertex, of any convex polygon is 360.
Complement Theorem
Complements of congruent angles are congruent