Mastering Transformations: Enlargement

Mathematics
Grade 7
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A worksheet covering Transformations: Enlargement for Grade 7 students.

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Mastering Transformations: Enlargement

Subject: MathematicsGrade: Grade 7
Name:
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Untitled Worksheet

Grade Grade 7
A

Introduction

Enlargement is a transformation that increases the size of a shape proportionally, using a scale factor. The scale factor determines how much larger the image will be compared to the original shape. For example, a scale factor of 2 doubles the size of the shape.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
What is the scale factor if a shape enlarges from a side length of 4 cm to 12 cm?
[2 marks]
2.
If a triangle with vertices at (2, 3), (4, 5), and (6, 3) is enlarged by a scale factor of 2 about the origin, what are the new coordinates?
[3 marks]
3.
A rectangle has a length of 5 cm and width of 3 cm. After enlargement with scale factor 4, what are the new length and width?
[2 marks]
4.
A shape is enlarged by a scale factor of 1.5. If the original area was 20 cm², what is the approximate area after enlargement?
[3 marks]
5.
Identify whether the following scale factor indicates an enlargement or reduction: 0.75.
[1 mark]
AEnlargement
BReduction
6.
A shape is enlarged from a side length of 6 cm to 18 cm. What is the scale factor?
[2 marks]
7.
A triangle with vertices at (1, 2), (3, 4), and (5, 2) is enlarged by a scale factor of 0.5 about the origin. What are the new coordinates?
[3 marks]
8.
A square of side length 8 cm is enlarged by a scale factor of 2. What is the perimeter of the new square?
[3 marks]
9.
A real-world object, like a small model car, is enlarged to a full-sized car. If the model's length is 20 cm and the full-sized car's length is 4 meters, what is the scale factor?
[3 marks]
10.
Challenge: A photograph of a building is enlarged to twice its original size. The original height was 15 meters. What is the new height, and what is the scale factor?
[4 marks]

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Details

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