Grade 12 Geometry: Perpendicular Bisectors
This worksheet focuses on understanding and applying the properties of perpendicular bisectors in geometry, including their construction, equation, and use in coordinate geometry.
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Grade 12 Geometry: Perpendicular Bisectors
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Define what a perpendicular bisector is in your own words. Include its key properties.
2. Which of the following statements about a point on the perpendicular bisector of a segment is true?
It is equidistant from the endpoints of the segment.
It is parallel to the segment.
It forms a 45-degree angle with the segment.
It only intersects the segment at one endpoint.
3. The of a segment is a line that passes through the midpoint of the segment and is perpendicular to it.
4. Any point on the perpendicular bisector of a segment is from the endpoints of the segment.
5. Find the equation of the perpendicular bisector of the segment with endpoints A(2, 5) and B(8, -1).
6. Using a compass and straightedge, construct the perpendicular bisector of the line segment shown below. (Assume the segment below is a placeholder for a drawn segment on the printed worksheet)
7. The intersection of the three perpendicular bisectors of the sides of a triangle is called the incenter.
True
False