Compass Construction: Problem Solving & Reasoning
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on compass construction methods, specifically creating angle bisectors and related constructions, to develop problem-solving and reasoning skills for Grade 7 students.
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Compass Construction: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct the bisector of angle ABC where points A, B, and C are on the grid. Mark the bisector clearly.
[3 marks]2.
Using a compass and straightedge, construct a triangle with sides 6cm, 8cm, and 10cm. Label all sides.
[4 marks]3.
Construct the bisector of angle DEF where D, E, and F are on the grid. Show all steps clearly.
[3 marks]4.
Construct an equilateral triangle with side length 5cm. Use the compass to ensure accuracy.
[3 marks]5.
Construct the angle bisector of an angle measuring 60° at point G. Use compass and straightedge.
[4 marks]6.
A park has a circular fountain with radius 4m. You want to find a point on the circle that bisects a given diameter. Construct this point.
[4 marks]7.
Construct an angle of 45° at point H and bisect it accurately.
[3 marks]8.
Construct a triangle with sides 7cm, 7cm, and 10cm. Then, construct the angle bisector of the vertex opposite the 10cm side.
[4 marks]9.
Identify and correct the mistake in the following compass construction: the bisector does not pass through the vertex of the angle.
[3 marks]10.
Construct two adjacent angles of 75° and 45°. Then, construct their angle bisectors and verify their sum.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet