Segment/Angle Addition & Bisectors

Front

What does the word BISECT mean?

Back

To cut something into two equal pieces or in half.

Front

If RS is the segment bisector and OQ = 32, PO = 4x, what does x equal?

Back

8

Front

AC = 25. Which equation will help me solve for the correct value of x?

Back

7x - 6 + 12 - 2x = 25

Front

If \( \overrightarrow{KM} \) bisects \( \angle LKJ \) and \( m\angle JKM=22\degree \), find \( m\angle LKM \).

Back

22

Front

What is the definition of a segment bisector?

Back

A line, ray, or segment that divides a segment into two equal parts.

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then \( m\angle AOB + m\angle BOC = m\angle AOC \).

Front

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

Back

90 degrees.

Front

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

Back

180 degrees.

Front

What is the formula for finding the measure of an angle bisector?

Back

If \( m\angle A = x \) and \( m\angle B = y \), then the angle bisector divides it into \( \frac{x+y}{2} \).

Front

What is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.