Compass Construction: Problem Solving & Reasoning
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on compass construction techniques related to perpendicular bisectors, designed to develop problem-solving and reasoning skills for Grade 8 students.
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Compass Construction: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 8
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Date:
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct the perpendicular bisector of the line segment AB, where A and B are points on the grid. Use your compass and straightedge.
[3 marks]2.
Given points C and D, draw segment CD. Without measuring, construct its perpendicular bisector using compass and straightedge.
[3 marks]3.
Construct the perpendicular bisector of a line segment of your choice on the grid. Label the midpoint M.
[2 marks]4.
Explain why the perpendicular bisector of a segment always passes through its midpoint. Provide a brief reasoning.
[2 marks]5.
Construct a triangle with vertices P, Q, R such that QR is bisected by its perpendicular bisector. Use your compass and straightedge to verify.
[3 marks]6.
In a real-world scenario, points A and B represent two locations. Use compass construction to find the point equidistant from both A and B along the perpendicular bisector. Describe the steps.
[4 marks]7.
Construct a segment XY and then locate its perpendicular bisector. Mark the point on the bisector that is equidistant from X and Y at a specified distance away from the segment.
[3 marks]8.
Construct the bisector of the base of an isosceles triangle and explain how it relates to the triangle's symmetry.
[3 marks]9.
Construct a line segment AB. Without measuring, construct its perpendicular bisector and then verify by drawing a circle with radius half of AB's length centered at the midpoint.
[3 marks]10.
Identify common mistakes students make when constructing perpendicular bisectors and describe how to correct them.
[2 marks]11.
Challenge: Given two segments, construct their perpendicular bisectors and determine if they intersect. Explain the geometric significance of your findings.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet