Rhombus: Error Analysis & Misconceptions
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and correcting misconceptions related to the properties of a rhombus, designed for Grade 7 students.
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Rhombus: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the length of the side of a rhombus if its diagonals are 10 cm and 24 cm. Show your working.
[3 marks]2.
If a rhombus has all sides equal to 8 cm, and one interior angle measures 60°, what is the measure of the opposite interior angle? Show your reasoning.
[3 marks]3.
Construct a rhombus with sides of 6 cm where one angle is 45°. What are the measures of the other angles?
[4 marks]B
Problem Solving & Reasoning
Answer the following multi-step problems with explanation.
1.
A farmer designs a rectangular garden in the shape of a rhombus with diagonals measuring 12 m and 16 m. Calculate the area of the garden and explain which properties of the rhombus help in your calculation.
[4 marks]2.
A rhombus has sides of length 9 cm. One of its interior angles is 70°. Find the measure of the other angles and justify your answer.
[4 marks]C
Real-world Applications
Solve these context-based problems involving rhombuses.
1.
A decorative mosaic tile in the shape of a rhombus has diagonals of 30 cm and 40 cm. If each tile is to be framed with a strip of uniform width, how much framing material is needed for one tile? Show calculations.
[4 marks]D
Challenge & Extension
Answer these advanced questions to deepen your understanding.
1.
Prove that the diagonals of a rhombus bisect each other at right angles and explain why this property distinguishes a rhombus from other parallelograms.
[3 marks]2.
Construct a rhombus with sides of 7 cm where the diagonals intersect at right angles, and one diagonal measures 10 cm. Calculate the length of the other diagonal.
[3 marks]E
Mixed Review & Error Analysis
Identify the errors and correct the misconceptions.
1.
A student claims that all sides of a rhombus are equal, but the angles can vary freely. Is this correct? Explain your reasoning and correct any misconceptions.
[2 marks]2.
A diagram shows a rhombus with one interior angle of 90°. Students are asked to determine the other angles. They assume all angles are right angles. Identify and correct this misconception.
[2 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.
- • Change grade level (Grade 6 → Grade 7)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet