Compass Construction: Mixed Review

Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A comprehensive worksheet on Compass Construction focusing on angle bisectors. Designed to reinforce procedural skills and problem-solving abilities for Year 9 students.

Worksheet Preview

Full preview • 11 questions

Compass Construction: Mixed Review

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Construct an angle of 60° using a compass and straightedge. Then bisect this angle accurately. Label the bisector.
[4 marks]
2.
Given a triangle with vertices A, B, and C, construct the bisector of angle ABC.
[3 marks]
3.
Construct the perpendicular bisector of a given line segment AB.
[3 marks]
4.
Plot the graph of y = 2x for x from -5 to 5. Use the grid for accurate plotting.
[2 marks]
5.
Construct an angle of 45° at point P and bisect it. Label the bisector clearly.
[4 marks]
6.
You are given a triangle with sides of lengths 5 cm, 7 cm, and 9 cm. Construct the angle bisector of the angle opposite the 7 cm side.
[4 marks]
7.
Construct an equilateral triangle with side length 6 cm. Then construct the bisectors of each angle.
[4 marks]
8.
Construct the bisector of a given angle and verify its correctness by measuring the angles formed.
[3 marks]
9.
Construct a line segment of 10 cm and find its midpoint using compass methods. Then, construct the perpendicular bisector.
[4 marks]
10.
Identify and correct the mistake in this compass construction: The angle bisector of a 90° angle was drawn, but the two angles measured are not equal. What went wrong?
[3 marks]
11.
Challenge: Construct an inscribed circle inside a given triangle, touching all three sides, using compass and straightedge.
[5 marks]

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Details

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