Perpendicular Bisector: Real-world Applications in Sports & Fitness
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of the Perpendicular Bisector through real-world sports and fitness scenarios, including procedural practice and problem-solving questions.
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Perpendicular Bisector: Real-world Applications in Sports & Fitness
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct the perpendicular bisector of a line segment with endpoints at (2, 3) and (8, 7).
[2 marks]2.
Calculate the coordinates of the midpoint of a line segment joining points (4, 1) and (10, 5).
[2 marks]3.
Determine the slope of the perpendicular bisector of a segment with endpoints at (1, 2) and (5, 6).
[2 marks]4.
A tennis court is 23 meters long. A player wants to find the exact middle of the court to position their serve. If one end is at (0, 0) and the other at (23, 0), what are the coordinates of the midpoint?
[3 marks]5.
Construct the perpendicular bisector of a chord in a circle with endpoints at (3, 4) and (7, 8).
[2 marks]6.
In a fitness track, a runner starts at point (2, 2) and runs directly across to point (8, 2). Find the coordinates of the midpoint of the track.
[2 marks]7.
A basketball court measures 28 meters in length. Construct the perpendicular bisector of the baseline, which runs from (0, 0) to (28, 0). What is the equation of this bisector?
[3 marks]8.
A football field is 100 meters long. The goalposts are at (0, 50) and (100, 50). Find the locus of points equidistant from both goalposts.
[3 marks]9.
Two cones are placed at points (3, 5) and (9, 11). Construct the perpendicular bisector of the segment connecting these points.
[2 marks]10.
Identify and correct the mistake: A student claims that the perpendicular bisector of a segment with endpoints (2, 4) and (6, 8) passes through (4, 6) and has slope 1.
[3 marks]11.
In a marathon setup, the start point is at (0, 0) and the finish line at (40, 0). If a runner is to stay equidistant from both points, what is the locus of their position?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet