Perpendicular Bisector Worksheet
This worksheet focuses on understanding and constructing perpendicular bisectors, and their properties, for Grade 8 geometry students.
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Perpendicular Bisector Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where necessary.
1. What are the two key properties of a perpendicular bisector?
It is parallel to the segment and passes through its midpoint.
It forms a 45-degree angle with the segment and passes through its endpoint.
It is perpendicular to the segment and passes through its midpoint.
It is perpendicular to the segment and passes through an endpoint.
2. Which of the following tools is typically used to construct a perpendicular bisector?
Protractor and ruler
Compass and straightedge
Set square and protractor
Only a ruler
3. A perpendicular bisector divides a line segment into two parts.
4. Any point on the perpendicular bisector is from the endpoints of the segment.
5. Draw a line segment AB of length 8 cm. Construct its perpendicular bisector using a compass and straightedge. Label the midpoint M.
6. A line segment can have more than one perpendicular bisector.
True
False
7. The perpendicular bisector of the hypotenuse of a right-angled triangle passes through the vertex opposite the hypotenuse.
True
False
8. A line segment has endpoints at A(2, 3) and B(8, 3). Find the equation of its perpendicular bisector.
9. Plot the points A(1, 1) and B(5, 5) on the coordinate plane below. Sketch the perpendicular bisector of segment AB.
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