Combining Loci: Problem Solving & Reasoning
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying the concept of combining loci to find regions defined by multiple conditions. Suitable for developing problem-solving and reasoning skills.
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Combining Loci: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
On the coordinate plane, plot the locus of points that are 4 units from point A(2,3).
[2 marks]2.
Plot the locus of points that are 5 units from point B(6,1).
[2 marks]3.
Draw the locus of all points equidistant from points A(2,3) and B(6,1).
[3 marks]4.
Combine the loci of points that are 3 units from point C(4,4) and 2 units from point D(8,4). Describe the resulting region.
[3 marks]5.
Construct the locus of points that are equally distant from two given points, P(1,2) and Q(5,2).
[3 marks]6.
A point P moves so that it is always 6 units from point R(3,6). Describe P's locus.
[2 marks]7.
Find the region where the loci of points 4 units from point S(0,0) and 5 units from point T(4,0) intersect.
[3 marks]8.
Identify the locus of points that are 3 units from point M(2,5) and 4 units from point N(6,5).
[3 marks]9.
A boat is at point B(7,2). It moves so that it remains 5 units from lighthouse L(3,2). What is the locus?
[2 marks]10.
A drone flies such that it is exactly 6 units from point C(5,5) and 8 units from point D(10,5). Describe the region of possible locations.
[4 marks]11.
A student mistakenly labels the locus of points 3 units from A(2,3) as a rectangle. Why is this incorrect? Identify the error.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet