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 and BC = 3, what is AC?

Back

AC = AB + BC = 5 + 3 = 8.

Front

If m∠A = 30° and m∠B = 50°, what is m∠C if A, B, and C are adjacent angles?

Back

m∠C = m∠A + m∠B = 30° + 50° = 80°.

Front

What is the measure of an angle that is complementary to a 70° angle?

Back

The measure of the complementary angle is 90° - 70° = 20°.

Front

If m∠1 = 45° and m∠2 = 55°, what is m∠3 if ∠1, ∠2, and ∠3 are supplementary?

Back

m∠3 = 180° - (m∠1 + m∠2) = 180° - (45° + 55°) = 80°.

Front

What is the relationship between vertical angles?

Back

Vertical angles are equal; if two angles are vertical, then they have the same measure.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of two complementary angles is 90°.

Front

If m∠A = 3x + 10 and m∠B = 2x + 30, and they are supplementary, what is x?

Back

3x + 10 + 2x + 30 = 180; 5x + 40 = 180; 5x = 140; x = 28.

Front

What is the definition of a straight angle?

Back

A straight angle measures 180°.