📐 Part 1: Identifying Transformations

1. Which transformation moves a shape from one position to another without changing its size or orientation?

Rotation

Translation

Reflection

Enlargement

2. When a shape is reflected across the y-axis, what happens to the coordinates (x, y)?

(x, y) becomes (-x, y)

(x, y) becomes (x, -y)

(x, y) becomes (-x, -y)

(x, y) stays the same

3. Which properties remain unchanged (invariant) during all transformations? (Select all that apply)

Side lengths

Angles

Position

Area

4. A triangle is rotated 90° clockwise about the origin. If one vertex was at (3, 2), where will it be after rotation?

(-2, 3)

(2, -3)

(-3, -2)

(3, -2)

✏️ Part 2: Describing Transformations

5. Look at the grid below. Describe the transformation that moves triangle ABC to triangle A'B'C'.

6. Complete the transformation description using mathematical language:

To move a rectangle 4 units right and 3 units down, we apply a _____________ by the vector (____, ____).

7. Write the te reo Māori terms for these transformations:

Transform: _____________

Rotate: _____________

Reflect: _____________

8. Explain why side lengths and angles remain the same during transformations.

🎯 Part 3: Applying Transformations

9. On the coordinate grid below, draw the results of these transformations on the given shape:

a) Reflect across the x-axis

b) Translate by vector (2, -1)

c) Rotate 180° about the origin

10. Challenge: Describe a sequence of two transformations that would move a shape from position A to position B.

11. Real-world connection: Give an example of where you might see transformations used outside of maths class.

2D Shape Transformations

2D Shape Transformations

📐 Part 1: Identifying Transformations

✏️ Part 2: Describing Transformations

🎯 Part 3: Applying Transformations

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