Grade 11 Geometry: Segment Bisectors

Grade 11 Geometry: Segment Bisectors

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. A segment bisector is a line, ray, or segment that intersects a segment at its  .

2. If M is the midpoint of segment AB, and AM = 3x - 5 and MB = 2x + 10, what is the length of AB?

3. The midpoint formula for two points (x1, y1) and (x2, y2) is M = ( ,  ).

4. A perpendicular bisector not only bisects a segment but also forms a   angle with the segment.

5. Find the midpoint of the segment with endpoints ( -4, 7 ) and ( 6, -3 ).

6. Segment CD has endpoints C(-2, 5) and D(8, -1). Point M is the midpoint of CD. What are the coordinates of M?

7. Every segment has exactly one midpoint.

8. A segment bisector is always perpendicular to the segment it bisects.

9. Explain the difference between a segment bisector and a perpendicular bisector. Provide an example of a situation where each would be used.

10. Plot the segment with endpoints A(-3, 2) and B(5, 2) on the coordinate plane. Then, plot its midpoint M and draw the perpendicular bisector of segment AB.