Partitioning a Line Segment Worksheet
Practice partitioning line segments in various ratios on a number line and coordinate plane for Grade 7 math.
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Partitioning a Line Segment
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Read each question carefully and follow the instructions to partition the line segments. Show all your work.
1. Find the point P that partitions the line segment from A = 2 to B = 17 in the ratio 2:3.
2. A line segment has endpoints at -5 and 15. Find the point that divides the segment into a 1:4 ratio.
3. Find the coordinates of point P that partitions the line segment with endpoints A(1, 2) and B(7, 14) in the ratio 1:2.
4. Given points C(-4, 0) and D(6, 10), find the point Q that divides segment CD in the ratio 3:2.
5. A line segment has endpoints (0, 0) and (10, 10). Which point partitions the segment in a 1:1 ratio?
(1, 1)
(5, 5)
(2, 2)
(10, 10)
6. Which of the following ratios means the segment is divided into two equal parts?
1:2
2:1
1:1
3:1
7. To partition a line segment in a given ratio, you divide the segment into a total of parts.
8. The formula for partitioning a line segment on a number line is P = x1 + (ratio_part1 / (ratio_part1 + ratio_part2)) * .
9. Partitioning a line segment always results in two equal parts.
True
False
10. The midpoint of a line segment partitions it in a 1:1 ratio.
True
False