Grade 8 Geometry: Segment Bisectors
A worksheet for 8th-grade students covering the concept of segment bisectors, including definitions, constructions, and problem-solving.
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Grade 8 Geometry: Segment Bisectors
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Read each question carefully and answer to the best of your ability. Show all your work for construction and calculation problems.
1. What is a segment bisector?
A line that passes through a segment
A line that divides a segment into two equal parts
A line that is perpendicular to a segment
A line that connects two segments
2. If point M is the midpoint of segment AB, which statement is true?
AM > MB
AM < MB
AM = MB
AB = AM + MB
3. A segment bisector divides a segment into two segments.
4. The point where a segment bisector intersects the segment is called the .
5. Draw a segment AB that is 8 cm long. Using a ruler and compass, construct the perpendicular bisector of segment AB. Label the midpoint M.
6. In the diagram below, line CD bisects segment XY at point Z. If XZ = 3x + 5 and ZY = 5x - 3, find the length of XY.
7. A segment bisector must always be perpendicular to the segment.
True
False
8. Every segment has exactly one midpoint.
True
False
9. Find the midpoint of the segment with endpoints at (2, 5) and (8, 1).
10. Plot the segment with endpoints A(-3, 4) and B(5, -2) on the coordinate plane. Then, plot its midpoint.