Compass Construction: Challenge & Extension
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on compass construction techniques for Year 9 students, including angle bisectors, problem-solving, and real-world applications.
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Compass Construction: Challenge & Extension
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Construct the bisector of a given angle using only a compass and straightedge.
[2 marks]2.
Given a segment AB, construct its perpendicular bisector.
[3 marks]3.
Construct an angle of 60° at a point P using a compass and straightedge.
[3 marks]4.
Construct the bisector of an angle of 45° at point C.
[2 marks]B
Problem Solving & Reasoning
Answer all questions with detailed explanations where necessary.
1.
Given a triangle ABC, construct the bisector of angle BAC. Explain how this bisector relates to the triangle's properties.
[4 marks]2.
Construct a triangle with sides 5 cm, 7 cm, and 9 cm. Then, bisect one of its angles and justify your construction steps.
[4 marks]3.
Using compass and straightedge, construct the angle bisector of an angle of 80°, then determine the measure of the two divided angles.
[3 marks]C
Real-world Applications
Apply your compass construction skills to solve these contextual problems.
1.
A park is designed with pathways forming angles at various junctions. Construct the angle bisector at a junction where two paths meet at 70°. Explain how this construction could be useful in park planning.
[3 marks]D
Challenge & Extension
Attempt these more advanced problems that extend your understanding of compass constructions.
1.
Construct the incenter of a given triangle by bisecting its angles. Then, demonstrate that the incenter is equidistant from all sides.
[4 marks]2.
Construct the angle bisector of a 120° angle and verify that it divides the angle into two equal parts. Describe any common mistakes students might make and how to avoid them.
[3 marks]E
Mixed Review
Answer these questions to review various aspects of compass construction.
1.
Construct an equilateral triangle with side length 6 cm. Then, bisect one of its angles.
[3 marks]2.
Identify and correct the mistake in a student’s construction where they attempt to bisect an angle but their bisector does not pass through the vertex.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet