Resizing 2D Shapes

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2D shapes on grid paper with scale factors

📐 Part 1: Understanding Scale Factors

1. When we enlarge a shape by a scale factor of 3, what happens to each side length?

Each side stays the same length

Each side becomes 3 times longer

Each side becomes 3 centimetres longer

Each side becomes half as long

2. Which properties stay the same when you resize a shape? (Tick all that apply)

The angles inside the shape

The side lengths

The shape type (e.g., triangle stays a triangle)

The area of the shape

3. A rectangle has sides of 2 cm and 4 cm. If we enlarge it by a scale factor of 2, what will the new side lengths be?

New side lengths: _______ cm and _______ cm

4. True or False: When you reduce a shape by a scale factor of ½, the shape becomes smaller but keeps the same angles.

True

False

📏 Part 2: Working with Grid Paper

5. Look at the triangle below on the grid paper. Draw the same triangle enlarged by a scale factor of 3.

Remember: Count the grid squares carefully and multiply each measurement by 3!

6. A square has a side length of 6 units on grid paper. If we reduce it by a scale factor of ½, what will be the new side length?

New side length: _______ units

7. Explain in your own words what happens when you enlarge a shape by a scale factor of 4.

8. Show your working: A triangle has sides of 3 cm, 4 cm, and 5 cm. Calculate the new side lengths if the triangle is enlarged by a scale factor of 3.

🎯 Part 3: Challenge Questions

9. If a shape is enlarged by a scale factor of 2, by how much does its area increase?

2 times larger

4 times larger

6 times larger

8 times larger

10. Design your own shape on grid paper and enlarge it by a scale factor of your choice. Label your original shape and your enlarged shape with their measurements.

My scale factor was: _______

11. Explain why the angles in a shape don't change when you resize it, but the side lengths do.