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Segment Bisector Worksheet

This worksheet focuses on understanding and applying the concept of segment bisectors in geometry, including finding midpoints and solving for unknown segment lengths.

Grade 10 Math GeometrySegment Bisector
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

geometrysegment bisectormidpointgrade 10math
7 sections · Free to use · Printable
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Segment Bisector Worksheet

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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 passes through the   of another segment.

2. The midpoint of a segment divides the segment into two   segments.

3. If M is the midpoint of segment AB, then AM is   to MB.

4. Which of the following can be a segment bisector?

a

A line

b

A ray

c

A segment

d

All of the above

5. If segment PQ has a length of 24 units and point R is its midpoint, what is the length of PR?

a

6 units

b

12 units

c

24 units

d

48 units

AMB

6. In the diagram above, M is the midpoint of segment AB. If AM = 3x + 5 and MB = 5x - 7, find the value of x and the length of AB.

-10-8-6-4-2246810-10-8-6-4-2246810

7. Find the coordinates of the midpoint of a segment with endpoints at (2, 7) and (8, 3). Plot the segment and its midpoint on the graph.

8. A segment can have more than one midpoint.

T

True

F

False

9. A perpendicular bisector is always a segment bisector.

T

True

F

False

10. Segment CD has endpoints C(-3, 5) and D(7, -1). Find the coordinates of the midpoint M. Then, find the length of segment CM and MD to verify that M is indeed the midpoint.