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Segment Bisector Worksheet

A Grade 9 math worksheet focusing on understanding and applying the concept of segment bisectors, including construction and coordinate geometry applications.

Grade 9 Math GeometrySegment Bisector
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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceDot Grid

Standards

CCSS.MATH.CONTENT.HSG.CO.D.12CCSS.MATH.CONTENT.HSG.GPE.B.7
8 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   that divides a line segment into two   segments.

2. The point where a segment bisector intersects the segment is called the  .

3. A perpendicular bisector is a segment bisector that is also   to the segment.

4. In the diagram below, if point M is the midpoint of segment AB, what is the relationship between AM and MB?

AMB

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

a

A line segment

b

A ray

c

A line

d

All of the above

6. Segment PQ has a midpoint M. If PM = 3x + 5 and MQ = 2x + 10, find the length of PQ.

7. Find the midpoint of the segment with endpoints A(-3, 7) and B(5, 1).

8. On the dot grid below, draw a line segment and then construct its perpendicular bisector using a compass and straightedge. (You may draw the segment and bisector freehand if you do not have tools).