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2D Shape Transformations

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2D Shape Transformations worksheet preview

2D Shape Transformations

Geometric shapes showing transformations

📐 Part 1: Identifying Transformations

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

Translation (slide)

Reflection (flip)

Rotation (turn)

Enlargement

2. A triangle is rotated 90° clockwise about the origin. Which properties remain unchanged?

Side lengths

Angles

Position

Shape

3. When a shape is enlarged by a scale factor of 2, what happens to its area?

It doubles

It becomes 4 times larger

It stays the same

It halves

4. Which transformation requires a mirror line?

Translation

Reflection

Rotation

Enlargement

✏️ Part 2: Describing Transformations

5. A rectangle is translated 5 units right and 3 units up. Write this as a vector:

Vector = ( _____ , _____ )

6. Describe the transformation that maps triangle ABC to triangle A'B'C' if the triangle is flipped over the y-axis:
7. A square is rotated about point P. Complete the description:

The square is rotated _______ degrees _____________ (clockwise/anticlockwise) about point _____.

8. List three properties that remain invariant (unchanged) during a reflection:

🎯 Part 3: Problem Solving

9. A kōwhaiwhai pattern uses reflection and rotation. Explain why these transformations are useful for creating repeating patterns:
10. Draw and describe a composite transformation (two or more transformations applied in sequence) in the space below:

Description: ________________________________________________

11. Challenge: If a shape undergoes the following transformations in order, describe what happens to its final position compared to the original:

Step 1: Translate 4 units left

Step 2: Reflect across the x-axis

Step 3: Rotate 180° about the origin

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