Combining Loci: Mixed Review
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet covering Combining Loci with a variety of question types to reinforce understanding for Year 9 students.
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Combining Loci: Mixed Review
Subject: MathematicsGrade: Year 9
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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.
Plot the locus of points that are equidistant from point A (3, 4) and point B (7, 4).
[3 marks]2.
Construct the locus of points that are 5 units from point C (2, 6).
[2 marks]3.
Plot the locus of points that are inside both circle centered at (5, 5) with radius 3 and the rectangle with vertices at (4, 4), (6, 4), (6, 6), (4, 6).
[3 marks]4.
Find the locus of points that are 4 units from point P (1, 2) AND on the same side as point Q (4, 2).
[2 marks]5.
Plot the intersection of the locus of points 3 units from A (2, 3) and the locus of points 4 units from B (6, 3).
[3 marks]6.
Explain how combining the loci of a point 5 units from A and a point 5 units from B can be used to find the set of points equidistant from A and B.
[4 marks]7.
Plot the locus of points that are 2 units from point D (0, 0) and also on the same side as point E (3, 4).
[2 marks]8.
A park is modeled as a circle with radius 10 meters. The boundary path is 1 meter from the edge. Plot the locus of points that are 1 meter from the park boundary.
[3 marks]9.
Construct the locus of points that are 3 units from point F (4, 4) and outside the circle centered at G (8, 4) with radius 2.
[3 marks]10.
Identify and correct the mistake in this statement: 'The locus of points equidistant from two points A and B is a circle with radius equal to half the distance between A and B.'
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet