Mastering Constructions & Loci
Mathematics
Year 9
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering Constructions & Loci for Year 9 students. It includes procedural questions to test basic skills and reasoning questions to apply these concepts in problem-solving contexts.
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Mastering Constructions & Loci
Subject: MathematicsGrade: Year 9
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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 a triangle with vertices A(2, 3), B(6, 3), and C(4, 7). Draw the triangle accurately using a ruler and compass.
[3 marks]2.
Given a circle with center O(4, 4) and radius 3, construct the circle using a compass. Label the center and radius.
[2 marks]3.
Construct the perpendicular bisector of the segment AB, where A(1, 2) and B(5, 6).
[3 marks]4.
Construct the angle bisector of ∠ABC, where B(3, 4), A(2, 6), and C(4, 6).
[3 marks]5.
Construct a locus of points equidistant from points P(2, 3) and Q(6, 7).
[4 marks]6.
A point R moves such that it is always 4 units from point S(5, 5). Draw the locus of R.
[4 marks]7.
Given points A(1, 1), B(7, 1), and C(4, 5), construct the median from A to BC.
[3 marks]8.
Construct the inscribed circle (incircle) of triangle ABC with vertices A(2, 2), B(6, 2), and C(4, 6).
[4 marks]9.
A line segment AB is 8 cm long. Construct a point P on AB such that AP is 3 cm. Show all steps.
[3 marks]10.
Challenge: A circle with center at (3, 3) passes through point D(7, 5). Construct the circle and then find the locus of points P such that the distance from P to D equals the distance from P to the circle's center.
[5 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet