Geometry Transformations Practice

Name:

Date:

📐 Part 1: Identifying Transformations

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

Translation

Reflection

Rotation

Enlargement

2. A reflection transformation requires:

A centre of rotation

A mirror line

A direction vector

An angle measurement

3. Which properties remain unchanged (invariant) after any transformation? Select all that apply:

Shape

Size

Position

Angle measurements

4. A rotation of 90° clockwise about point (0,0) will move point (3,2) to:

(2,-3)

(-2,3)

(3,-2)

(-3,2)

✏️ Part 2: Describing Transformations

5. Describe the transformation that moves triangle ABC to triangle A'B'C' if the triangle slides 4 units right and 3 units up:

6. Complete the sentence: When a shape is reflected across the y-axis, the x-coordinates __________ and the y-coordinates __________.

7. A square is rotated 180° about its centre. Describe what happens to its appearance:

8. List three real-world examples where transformations are used:

a) ____________________________________

b) ____________________________________

c) ____________________________________

🎯 Part 3: Application & Extension

9. On a coordinate grid, triangle PQR has vertices P(1,2), Q(3,2), and R(2,4). After a translation, P moves to P'(5,7). What are the coordinates of Q' and R'?

10. Extension Challenge: A shape undergoes two transformations: first a reflection across the x-axis, then a translation 3 units left. If the original point was (2,5), what is the final position?

11. Draw or describe how you would use tracing paper to perform a 90° rotation of a triangle:

12. Creative Task: Design a simple pattern using at least two different transformations. Describe your pattern below: