Segment Length Practice
This worksheet provides practice problems on calculating segment lengths, including midpoints and segment addition, suitable for Grade 10 Geometry students.
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Segment Length Practice
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Read each question carefully and show all your work. Use the provided space for your answers.
1. Points A, B, and C are collinear. If AB = 12 units and BC = 7 units, what is the length of AC? (Consider both possible arrangements of points)
2. Point M is between points P and Q. If PM = 3x + 5, MQ = x + 10, and PQ = 35, find the value of x and the lengths of PM and MQ.
3. The coordinates of the endpoints of a segment are A(2, 5) and B(8, 1). What are the coordinates of the midpoint of segment AB?
(5, 3)
(6, 4)
(3, 2)
(10, 6)
4. Calculate the length of the segment with endpoints C(-3, 7) and D(5, 1). Round your answer to the nearest tenth.
5. The of a segment is the point that divides the segment into two congruent segments.
6. The states that if three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
7. If M is the midpoint of segment XY, then XM = MY.
True
False
8. The distance formula is derived from the Pythagorean theorem.
True
False
9. Point C is the midpoint of segment AB. If A = (-1, 3) and C = (2, -1), find the coordinates of point B.