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Perpendicular Bisectors Worksheet

Grade 9 Math worksheet focusing on understanding and constructing perpendicular bisectors, their properties, and applications in geometry.

Grade 9 Math GeometryPerpendicular Bisector
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.CO.D.12

Topics

geometryperpendicular bisectorconstructiongrade 9math
7 sections · Free to use · Printable
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Perpendicular Bisectors

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

1. What property does every point on a perpendicular bisector of a segment have?

a

It is equidistant from the endpoints of the segment.

b

It is parallel to the segment.

c

It divides the segment into a 1:2 ratio.

d

It forms an acute angle with the segment.

2. A perpendicular bisector of a segment is a line, ray, or segment that is   to the segment and passes through its  .

3. Using only a compass and straightedge, construct the perpendicular bisector of the segment AB below. Clearly show all construction marks.

AB

4. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

T

True

F

False

5. A line segment has endpoints at A(1, 2) and B(7, 6). What is the equation of the perpendicular bisector of segment AB?

0246810246810

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