📐 Part 1: Identifying Transformations

1. Look at the shapes below and identify which transformation has been applied. Circle the correct answer:

Shape A has been moved to position B

Reflection

Rotation

Translation

2. Which of these shapes has line symmetry? Check all that apply:

Square

Scalene triangle

Circle

Rectangle

Regular hexagon

3. A shape is rotated 90° clockwise about the origin. What happens to the point (3, 2)?

(2, -3)

(-2, 3)

(2, 3)

(-3, 2)

🔄 Part 2: Reflections and Line Symmetry

4. Draw the reflection of the triangle below across the y-axis:

Original triangle has vertices at (1, 1), (3, 1), and (2, 4)

5. Complete the shape so that the dashed line is a line of symmetry:

6. How many lines of symmetry does a regular octagon have?

7. Fill in the coordinates after reflection:

When point A(4, -2) is reflected in the x-axis, the new coordinates are A'(_____, _____)

When point B(-3, 5) is reflected in the y-axis, the new coordinates are B'(_____, _____)

🔄 Part 3: Rotations and Translations

8. Draw the shape after a 180° rotation about the origin:

Original shape: Square with vertices at (1, 1), (3, 1), (3, 3), (1, 3)

9. Translate the pentagon 4 units right and 2 units down. Draw the new position:

10. Match the transformation with its description:

1. Translation

2. Rotation

3. Reflection

4. Line symmetry

A. Turning about a fixed point

B. Sliding without turning

C. Flipping over a line

D. One half mirrors the other

11. What single transformation maps triangle ABC to triangle A'B'C'?

🎯 Part 4: Combined Transformations (Extension)

12. Apply the following transformations in order to point P(2, 3):

Step 1: Reflect in the x-axis → P₁(_____, _____)

Step 2: Translate 3 units left → P₂(_____, _____)

Step 3: Rotate 90° anticlockwise about origin → P₃(_____, _____)

13. Design your own shape and show it undergoing three different transformations. Label each transformation clearly:

14. A regular star has rotational symmetry of order 5. What is the angle of rotation?

15. Challenge: Describe the single transformation that is equivalent to reflecting a shape in the x-axis, then reflecting the result in the y-axis:

📚 Part 5: Homework Practice

16. In your exercise book, draw a coordinate grid and plot the following shapes. Then perform the transformations:

a) Triangle with vertices A(1, 2), B(4, 2), C(3, 5)

• Reflect in the line y = x

• Rotate 270° clockwise about origin

b) Rectangle with vertices D(-2, 1), E(2, 1), F(2, 3), G(-2, 3)

• Translate by vector (3, -4)

• Reflect in the y-axis

17. Research task: Find three examples of transformations in real life (architecture, nature, art). Draw or describe each example and identify the type of transformation.

18. Create a tessellation pattern using at least two different transformations. Show your working and explain which transformations you used:

Transformation Geometry Worksheet

Transformation Geometry Worksheet

📐 Part 1: Identifying Transformations

🔄 Part 2: Reflections and Line Symmetry

🔄 Part 3: Rotations and Translations

🎯 Part 4: Combined Transformations (Extension)

📚 Part 5: Homework Practice

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