Segment Bisector Worksheet
This worksheet focuses on understanding and applying the properties of segment bisectors in geometry, including midpoint calculations and algebraic applications.
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Segment 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. What is the definition of a segment bisector?
A line that intersects a segment at any point.
A line, segment, or ray that passes through the midpoint of a segment.
A line that is perpendicular to a segment.
A line that divides a segment into three equal parts.
2. If M is the midpoint of segment AB, and AM = 3x - 4 and MB = 2x + 1, what is the length of AB?
5
11
22
26
3. A segment bisector divides a segment into two segments.
4. The midpoint formula for a segment with endpoints (x1, y1) and (x2, y2) is ( , ).
5. Given segment PQ with endpoints P(-3, 5) and Q(7, -1). Find the coordinates of the midpoint M.
6. Line L bisects segment XY at point M. If XY = 18 cm, what is the length of XM?
7. Segment AB has a midpoint M. If A = (1, 6) and M = (4, 2), find the coordinates of point B.
8. A perpendicular bisector is always a segment bisector.
True
False