Negative Reciprocal: Real-world Applications
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of negative reciprocals through real-world art and pattern scenarios. Students will practice calculating and applying negative reciprocals to understand perpendicular lines in practical contexts.
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Negative Reciprocal: Real-world Applications
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.
Find the negative reciprocal of the line with slope 3.
[2 marks]2.
Calculate the negative reciprocal of y = -2x + 4.
[2 marks]3.
A line in an art pattern has a slope of 0.5. What is the slope of a line perpendicular to it?
[2 marks]4.
Construct a line on the grid with a slope that is the negative reciprocal of y = 4x.
[3 marks]5.
Plot on the grid a line with slope -3/4 and another with slope 4/3. Indicate which lines are perpendicular.
[3 marks]6.
Explain why the slopes 2 and -1/2 are negative reciprocals.
[2 marks]7.
In an art pattern, two lines are perpendicular. If one has slope 5, what is the slope of the other?
[2 marks]8.
A pattern shows a line with slope -3 and a second line crossing it perpendicularly. What is the slope of the crossing line? Show your work.
[3 marks]9.
Identify the error in this statement: "The negative reciprocal of y = 7x + 2 is y = 7x - 2."
[2 marks]10.
Challenge: Construct two perpendicular lines on the grid, with slopes that are the negative reciprocal of each other. Describe your slopes and how you verified perpendicularity.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet