algebraic proofs

Front

What is the Addition Property of Equality?

Back

If two quantities are equal, adding the same amount to both sides keeps them equal.

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be replaced with b in any expression.

Front

What is the Division Property of Equality?

Back

If two quantities are equal, dividing both sides by the same non-zero number keeps them equal.

Front

What is the Subtraction Property of Equality?

Back

If two quantities are equal, subtracting the same amount from both sides keeps them equal.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the Reflexive Property of Equality?

Back

Any quantity is equal to itself (a = a).

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC.

Front

What is the Congruent Complements Theorem?

Back

If two angles are complements of the same angle (or congruent angles), then they are congruent.

Front

What is the Angle Bisector Theorem?

Back

If a point is on the angle bisector, it is equidistant from the sides of the angle.