Angle Bisector/Angle Addition Postulate Review

Front

What is a Complementary Angle?

Back

A complementary angle is an angle that, when added to another angle, equals 90 degrees.

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 is the definition of an Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

If D is the midpoint of segment EF, what is the relationship between ED and DF?

Back

ED = DF, since D is the midpoint.

Front

How do you find the measure of an angle if you know its complementary angle?

Back

Subtract the measure of the complementary angle from 90 degrees.

Front

What is the formula to find the length of a segment when given the midpoint?

Back

If D is the midpoint of segment EF, then EF = 2 * ED.

Front

If m∠JHG = 161 degrees, what are the measures of angles that are complementary to it?

Back

There are no angles that are complementary to 161 degrees, as complementary angles must sum to 90 degrees.

Front

What is the value of x if ED = 4x + 6 and DF = 7x - 9?

Back

Set ED equal to DF: 4x + 6 = 7x - 9. Solving gives x = 3.

Front

What is the sum of angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

If two angles are supplementary, what is their relationship?

Back

Two angles are supplementary if their measures add up to 180 degrees.