Perpendicular Bisector Worksheet
Grade 10 math worksheet focusing on understanding and constructing perpendicular bisectors, their properties, and applications in coordinate geometry.
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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 full credit.
1. Which of the following statements is true about a perpendicular bisector of a line segment?
It is parallel to the segment.
It passes through one endpoint of the segment.
It intersects the segment at a 90-degree angle and divides it into two equal parts.
It is always shorter than the segment it bisects.
2. Any point on the perpendicular bisector of a segment is from the endpoints of the segment.
3. To construct a perpendicular bisector using a compass and straightedge, you must first draw arcs from each endpoint with a radius than half the segment's length.
4. Given points A(2, 5) and B(8, 1). Find the midpoint of the line segment AB.
5. Given points P(-3, 4) and Q(5, -2). Find the slope of the line segment PQ.
6. On the coordinate plane below, plot the points C(-4, -2) and D(6, 4). Then, draw the line segment CD and construct its perpendicular bisector. Show all construction marks.
7. The perpendicular bisector of a chord in a circle always passes through the center of the circle.
True
False
8. If two lines are perpendicular bisectors of the same segment, then they must be the same line.
True
False
9. Determine the equation of the perpendicular bisector of the line segment connecting points E(-1, 7) and F(5, -3).
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