Segment and Angle Addition Postulate

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

If AB = 5 units and BC = 7 units, what is AC?

Back

AC = AB + BC = 5 + 7 = 12 units.

Front

If m∠1 = 30° and m∠2 = 50°, what is m∠3 if ∠1 and ∠2 are adjacent and form ∠3?

Back

m∠3 = m∠1 + m∠2 = 30° + 50° = 80°.

Front

What is the relationship between complementary angles?

Back

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

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

If m∠A = 40° and m∠B = 60°, are they complementary or supplementary?

Back

They are supplementary because 40° + 60° = 100°.

Front

Find the value of x if 2x + 10 = 50.

Back

x = 20.

Front

If ∠A and ∠B are complementary and m∠A = 35°, what is m∠B?

Back

m∠B = 90° - m∠A = 90° - 35° = 55°.

Front

If AB = 8 units and AC = 12 units, what is BC?

Back

BC = AC - AB = 12 - 8 = 4 units.