Compass Construction: Fluency & Practice

Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on compass construction techniques, specifically constructing perpendicular bisectors, for GCSE Foundation students.

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Compass Construction: Fluency & Practice

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Using a compass, construct the perpendicular bisector of the line segment AB, where A and B are points on the grid.
[3 marks]
2.
Given points C and D, construct the midpoint of CD using only a compass and ruler.
[2 marks]
3.
Construct the perpendicular bisector of segment EF and mark its intersection with a third segment GH on the grid.
[4 marks]
4.
Construct a line that is perpendicular bisector of a given segment and verify it passes through the midpoint.
[3 marks]
5.
Construct the perpendicular bisector of a segment with endpoints at points P and Q. Confirm that your bisector intersects the segment at its midpoint.
[3 marks]
6.
Construct the perpendicular bisectors of two sides of a triangle and explain how they relate to the triangle's circumcircle.
[4 marks]
7.
A line segment on the grid has endpoints at points R and S. Using compass only, construct its perpendicular bisector and determine if it is also the line of symmetry for a shape drawn nearby.
[4 marks]
8.
Construct the perpendicular bisector of a segment with endpoints at coordinates (2,3) and (8,7). Confirm the construction is accurate.
[3 marks]
9.
Construct the perpendicular bisector of a segment, then use it to find the point equidistant from two points A and B on the grid. Describe your method.
[4 marks]
10.
Construct a perpendicular bisector of a segment and identify common mistakes students might make. How can these errors be corrected?
[3 marks]

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Details

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