Equilateral: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
This worksheet explores common errors and misconceptions related to equilateral triangles, focusing on understanding properties and identifying mistakes in problem-solving.
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Equilateral: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the measure of each interior angle in an equilateral triangle.
[2 marks]2.
If each side of an equilateral triangle is 12 cm, find its perimeter.
[2 marks]3.
True or False: All equilateral triangles are also equiangular.
[1 mark]4.
Construct an equilateral triangle with side length 8 cm on the grid.
[3 marks]B
Problem Solving & Reasoning
Answer all questions, explaining your reasoning where appropriate.
1.
A triangle has two sides of length 10 cm and an included angle of 60°. Explain whether it can be equilateral. Show your reasoning.
[4 marks]2.
A student claims that if a triangle has three sides of equal length, then all its angles must be 60°. Is this correct? Justify your answer.
[4 marks]3.
A triangle has sides of 9 cm, 9 cm, and 8 cm. Could it be equilateral? Explain your answer.
[3 marks]C
Real-world Applications
Solve the following word problems related to equilateral triangles.
1.
A gardener designs a triangular garden with all sides equal. If each side is 5 meters, what is the total length of fencing needed?
[2 marks]2.
A bridge supports a triangular frame with equilateral sections. Each section has sides of 2 meters. How many meters of support material are needed for 4 sections?
[2 marks]D
Challenge & Extension
Attempt these more difficult questions to deepen your understanding.
1.
Construct an equilateral triangle with side length 10 cm. Then, inscribe a circle inside it that touches all three sides. What is the radius of the circle?
[4 marks]2.
Prove that the medians of an equilateral triangle are also its altitudes.
[4 marks]E
Mixed Review & Error Analysis
Identify and correct the mistakes in the following statements.
1.
A student states: 'In an equilateral triangle, all sides are equal, and all angles are 90°.' Identify the mistake and correct the statement.
[3 marks]2.
Common mistake: Calculating an interior angle of an equilateral triangle as 45°. Explain why this is incorrect and provide the correct measure.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet