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 = 6 and BC = 12, what is AC?

Back

AC = AB + BC = 6 + 12 = 18.

Front

If DE = 5 and EF = 7, what is DF?

Back

DF = DE + EF = 5 + 7 = 12.

Front

Solve for x: 2x + 3 = 11.

Back

x = 4.

Front

If m∠A = 25 degrees and m∠B = 35 degrees, what is m∠C if A, B, and C are supplementary?

Back

m∠C = 180 - (m∠A + m∠B) = 180 - (25 + 35) = 120 degrees.

Front

Write an equation for the lengths: AB + BC = AC. If AB = 4 and AC = 10, what is BC?

Back

BC = AC - AB = 10 - 4 = 6.

Front

What does it mean for angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

If m∠1 + m∠2 = 90 degrees, what can be said about ∠1 and ∠2?

Back

∠1 and ∠2 are complementary angles.

Front

If m∠A = 30 degrees and m∠B = 60 degrees, what is m∠C if A, B, and C are angles in a triangle?

Back

m∠C = 180 - (m∠A + m∠B) = 180 - (30 + 60) = 90 degrees.