Bisectors

Front

In simple terms, what does a bisector do?

Back

Splits an object into two congruent pieces.

Front

What is the definition of a bisector?

Back

A bisector is a line, ray, or segment that divides an angle or a segment into two equal parts.

Front

If line l bisects segment PR, what can we say about the lengths of segments PL and LR?

Back

PL = LR.

Front

What is the midpoint of a segment?

Back

The midpoint is the point that divides the segment into two equal lengths.

Front

If RM = 3 and MS = 3, what is the total length of segment RS?

Back

RS = RM + MS = 3 + 3 = 6.

Front

What is the relationship between a bisector and congruence?

Back

A bisector creates two congruent segments or angles.

Front

If an angle is bisected, what can we say about the two resulting angles?

Back

The two resulting angles are equal.

Front

How do you find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

If angle A is bisected, and angle A measures 80 degrees, what are the measures of the two angles formed?

Back

Each angle measures 40 degrees.

Front

What is the formula for finding the length of a segment given its endpoints?

Back

Length = √((x2 - x1)² + (y2 - y1)²).