segment and angle addition postulates

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

What does 'congruent' mean in geometry?

Back

Congruent means having the same size and shape; two figures are congruent if they can be made to coincide by rigid motions.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What are complementary angles?

Back

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

Front

What are supplementary angles?

Back

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

Front

If GH = 8 and HI = 17, what is the length of GI?

Back

GI = GH + HI = 8 + 17 = 25.

Front

What is the measure of an angle that is complementary to a 57-degree angle?

Back

The measure is 33 degrees, since 90 - 57 = 33.

Front

What is the measure of an angle that is supplementary to a 147-degree angle?

Back

The measure is 33 degrees, since 180 - 147 = 33.

Front

If two angles are congruent, what can we say about their measures?

Back

Their measures are equal.