SSG 2.4: Segment and Angle Bisectors

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

This point divides a line segment into 2 equal parts.

Back

midpoint

Front

Q is the midpoint of PR. If PQ = 6x – 7 and QR = 5x + 1, find the length of PR.

Back

82

Front

If B is the midpoint of AC and AB = 8, what is the length of AC?

Back

16

Front

What is the definition of a segment bisector?

Back

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

Front

If a segment is bisected, what can be said about the two resulting segments?

Back

They are congruent.

Front

Find the value of x if 2x + 3 = 53.

Back

x = 25.

Front

What is the formula to find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

If the length of segment AB is 10, what is the length of each segment if B is the midpoint?

Back

5.

Front

What is the relationship between angle bisectors and the angles they bisect?

Back

Angle bisectors divide an angle into two equal angles.