Mastering Transformations: Enlargement
Mathematics
GCSE Higher
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A worksheet covering Transformations: Enlargement for GCSE Higher students.
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Mastering Transformations: Enlargement
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the concept of enlargement: when a shape is scaled proportionally from a fixed point, using a scale factor k. The coordinates of a point (x, y) are transformed to (kx, ky) when enlarged about the origin.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If a triangle with vertices at (2, 3), (4, 5), and (3, 7) is enlarged about the origin with a scale factor of 3, what are the new coordinates of the vertices?
[4 marks]2.
A rectangle has vertices at (1, 2), (4, 2), (4, 5), and (1, 5). If it is enlarged with a scale factor of 0.5 about the origin, what are the new vertices?
[4 marks]3.
Calculate the scale factor if a square with side length 6 cm is enlarged to a square with side length 9 cm about the origin.
[2 marks]4.
A point (x, y) is transformed to (2x, 2y) during an enlargement. What is the scale factor?
[2 marks]5.
A triangle is enlarged with a scale factor of 2 about the point (1, 1). Its original vertices are at (2, 3), (4, 2), and (3, 4). Find the coordinates of the enlarged triangle.
[4 marks]6.
Explain how the scale factor affects the size and position of a shape during enlargement.
[3 marks]7.
A figure is enlarged by a scale factor of 2 about the point (2, 3). The original point is at (5, 7). Find the coordinates of the enlarged point.
[3 marks]8.
A shape is enlarged with a scale factor of 0.75 about the origin. If a side of the original shape measures 8 cm, what is the length of the corresponding side after enlargement?
[2 marks]9.
A triangle with vertices at (1, 2), (3, 4), and (5, 6) is enlarged about the point (2, 3) with a scale factor of 2. Find the new coordinates of the vertices.
[4 marks]10.
Describe a real-world scenario where you might need to use enlargement in a practical context.
[3 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
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