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Mastering Transformations: Enlargement

Mathematics
GCSE Foundation
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About This Worksheet

A worksheet covering Transformations: Enlargement for GCSE Foundation students.

Topics covered:

#Mathematics
#Transformations: Enlargement

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Mastering Transformations: Enlargement

Subject: MathematicsGrade: GCSE Foundation
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Date:

Untitled Worksheet

Grade GCSE Foundation
A

Introduction

Study the key idea: An enlargement with scale factor k transforms a shape by stretching it away from a fixed point, called the center of enlargement. The new size is proportional to the original, with the ratio given by the scale factor.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
If a triangle with vertices at A(2, 3), B(4, 5), and C(3, 7) is enlarged from the origin with a scale factor of 2, what are the new coordinates of the vertices?
[4 marks]
2.
What is the scale factor if a figure enlarges from point (1, 2) to point (3, 6), assuming the original point is at (1, 2)?
[2 marks]
3.
A rectangle has vertices at (2, 2), (4, 2), (4, 5), and (2, 5). It is enlarged from point (0, 0) with a scale factor of 3. What are the new vertices?
[4 marks]
4.
Explain why the scale factor of 1 results in the original figure after enlargement.
[3 marks]
5.
A triangle with vertices at (1, 1), (3, 1), (2, 4) is enlarged from the point (2, 2) with a scale factor of 0.5. What are the new vertices?
[4 marks]
6.
If a figure enlarges from (0,0) to (6, 8), what is the scale factor assuming the original point is at (0,0)?
[2 marks]
7.
A circle with center at (3, 4) and radius 2 is enlarged from the origin with a scale factor of 3. What is the new radius?
[2 marks]
8.
Describe how the position of the center of an enlargement affects the final image.
[3 marks]
9.
A square with vertices at (1, 1), (1, 3), (3, 3), (3, 1) is enlarged from (1, 1) with a scale factor of 2. Find the new vertices.
[4 marks]
10.
A figure is enlarged from point (2, 2) with a scale factor of 0.75. What is the effect on the size of the figure?
[3 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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