geometric proofs

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

What is the definition of a right angle?

Back

An angle that measures exactly 90 degrees.

Front

What does the Addition Property of Equality state?

Back

If two quantities are equal, adding the same amount to both will keep them equal.

Front

What is the Congruent Supplement Theorem?

Back

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

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AMC, then m∠AMX + m∠XMB = m∠AMB.

Front

What is the definition of supplementary angles?

Back

Two angles whose measures add up to 180 degrees.

Front

What is the Subtraction Property of Equality?

Back

If two quantities are equal, subtracting the same amount from both will keep them equal.

Front

What is the Reflexive Property?

Back

Any quantity is equal to itself (e.g., a = a).

Front

What is the Transitive Property?

Back

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

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two equal parts.