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Scale Factor Shape Transformations
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Scale Factor Shape Transformations
📏 Part 1: Understanding Scale Factor
1. What is a scale factor?
A number that changes the angles of a shape
A number you multiply side lengths by to make a shape bigger or smaller
A number that only makes shapes bigger
A number that changes the colour of a shape
2. A rectangle has sides of 4 cm and 6 cm. If enlarged by a scale factor of 2, what are the new side lengths?
6 cm and 8 cm
8 cm and 12 cm
2 cm and 3 cm
4 cm and 6 cm
3. Which of these scale factors will make a shape smaller? (Tick all that apply)
0.5
2
1/3
3
4. When a shape is enlarged or reduced, what stays the same?
The side lengths
The angles and shape
The perimeter
The area
🔢 Part 2: Calculating New Side Lengths
5. A triangle has sides of 3 cm, 4 cm, and 5 cm. Calculate the new side lengths when enlarged by a scale factor of 3.
New side lengths: _______ cm, _______ cm, _______ cm
6. A square has sides of 8 cm. What are the new side lengths when reduced by a scale factor of 0.25?
New side length: _______ cm
7. A rectangle is 12 cm by 9 cm. If it's enlarged by a scale factor of 1.5, find the new dimensions.
New dimensions: _______ cm by _______ cm
✏️ Part 3: Drawing and Reasoning
8. Draw a triangle with sides 2 cm, 3 cm, and 4 cm. Then draw it enlarged by a scale factor of 2 on the grid below.
9. Explain in your own words what happens to a shape when you apply a scale factor of 1/2.
10. A pentagon has a perimeter of 20 cm. If it's enlarged by a scale factor of 3, what will the new perimeter be? Explain your reasoning.
New perimeter: _______ cm
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