Perpendicular Bisector Worksheet
Explore the concept of perpendicular bisectors, their properties, and how to construct them in geometry for Grade 7.
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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 for construction problems.
1. What is a perpendicular bisector?
A line that cuts a segment into two equal parts.
A line that is perpendicular to another line.
A line that cuts a segment into two equal parts and is perpendicular to it.
A line that passes through the midpoint of a segment.
2. All points on the perpendicular bisector of a segment are equidistant from the of the segment.
midpoint
endpoints
center
beginning
3. A perpendicular bisector forms a degree angle with the segment it bisects.
4. To construct a perpendicular bisector, you need a compass and a .
5. Draw a line segment AB and construct its perpendicular bisector. Label all important points.
6. A perpendicular bisector is always a line, not a line segment or a ray.
True
False
7. Any point on the perpendicular bisector of a segment is equidistant from the two endpoints of the segment.
True
False
8. Consider a triangle ABC. If you construct the perpendicular bisectors of sides AB and BC, what special point of the triangle do they intersect at?