Compass: Mixed Review
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet that reviews the use of Compass in constructing perpendiculars from a point to a line, including procedural and problem-solving questions suitable for Grade 7 students.
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Full preview • 10 questions
Compass: Mixed Review
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.
Construct the perpendicular from point P to line AB using only a compass and straightedge. Label the perpendicular point as Q.
[3 marks]2.
Given point P outside line L, construct the perpendicular from P to L. Measure the length of the perpendicular segment.
[3 marks]3.
Construct a perpendicular bisector of segment AB. Use your compass to find the midpoint M. Explain the steps you used.
[4 marks]4.
Using a compass, draw a circle with center C passing through point D. Construct the perpendicular bisector of CD and identify the point where it intersects the circle.
[4 marks]5.
Construct a line segment AB of length 8 cm. Using a compass, construct a perpendicular to AB at point A. Measure the length of the perpendicular segment from A.
[3 marks]6.
Construct an equilateral triangle with side length 6 cm. Use your compass to ensure all sides are equal and explain the process briefly.
[4 marks]7.
Construct a perpendicular from a point P to a line L that is 10 cm away from P. Verify your construction by measuring the perpendicular length.
[3 marks]8.
Construct the perpendicular bisector of segment XY, where XY is 7 cm long. Determine the coordinates of the midpoint if X is at (2,3) and Y at (10,3).
[4 marks]9.
A student attempts to construct a perpendicular from point P to line CD but makes a mistake and the perpendicular does not meet the line. Identify the common mistake and suggest how to correct it.
[4 marks]10.
Challenge: Construct a line segment AB with length 9 cm. Then, at point A, construct a perpendicular line that intersects AB at a point 4.5 cm from A. Use only a compass and straightedge, and explain your steps.
[5 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet