Segment & Angle Addition Postulate, Related Conditionals & Proof

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

Define the Transitive Property.

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the Symmetric Property?

Back

The Symmetric Property states that if a = b, then b = a.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that for any number a, a = a.

Front

What does the Substitution Property state?

Back

The Substitution Property states that if a = b, then b can be substituted for a in any expression.

Front

If AB = 3x + 2 and BC = 6, what is the equation for AC?

Back

AC = AB + BC = (3x + 2) + 6.

Front

If ∠A + ∠B = 90°, what type of angles are ∠A and ∠B?

Back

∠A and ∠B are complementary angles.

Front

If two angles are complementary and one angle measures 30°, what is the measure of the other angle?

Back

The other angle measures 60°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.