Practice: Mastering the Midpoint of Line Segments

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet designed to develop fluency and practice in calculating midpoints of line segments, including real-world applications and extension challenges.

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Practice: Mastering the Midpoint of Line Segments

Subject: MathematicsGrade: Year 9
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Find the midpoint of the line segment with endpoints at (2, 3) and (6, 7).
[2 marks]
2.
Calculate the midpoint of the segment with endpoints at (-3, 5) and (1, -1).
[2 marks]
3.
Construct a line segment with endpoints at (0, 0) and (8, 4). Mark the midpoint on the grid.
[3 marks]
4.
A line segment has endpoints at (x1, y1) = (3, 2) and (x2, y2) = (7, 8). What are its midpoint coordinates?
[2 marks]
5.
In a coordinate plane, the endpoints of a segment are at (1, 4) and (5, 10). Find the midpoint.
[2 marks]
6.
Plot the segment with endpoints (2, 2) and (6, 6) and mark its midpoint on the grid.
[3 marks]
7.
A triangle has vertices at (1, 2), (5, 2), and (3, 6). Find the midpoints of its sides.
[4 marks]
8.
Calculate the midpoint between the points (-2, 3) and (4, -1).
[2 marks]
9.
A segment's endpoints are at (x1, y1) = (-5, 0) and (x2, y2) = (3, 8). Find its midpoint coordinates.
[2 marks]
10.
Identify and correct the mistake: The midpoint of (1, 2) and (5, 6) is given as (3, 4).
[3 marks]
11.
A real-world scenario: Two points on a riverbank are at 10 km and 18 km markers. Find the midpoint location assuming the distance is linear.
[3 marks]
12.
Challenge: A segment has endpoints at (x, y) and (x + 6, y + 8). Write an expression for its midpoint in terms of x and y.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet