Transformations Quiz

1. What are the four main types of geometric transformation?

1. Movement, mirror, spin, zoom
2. Scaling, shearing, tilting, sliding
3. Stretch, compress, flip, spin
4. Translation, rotation, reflection, enlargement

2. A point (3, 5) is translated by vector (2, −4). What are the new coordinates?

1. (1, 9)
2. (5, 1)
3. (5, 9)
4. (6, −20)

3. A shape is reflected in the x-axis. Point (4, 3) maps to:

1. (−4, −3)
2. (−4, 3)
3. (3, 4)
4. (4, −3)

4. A shape is reflected in the y-axis. Point (3, −2) maps to:

1. (−3, −2)
2. (−3, 2)
3. (2, −3)
4. (3, 2)

5. A shape is rotated 90° clockwise about the origin. Point (2, 5) maps to:

1. (−2, −5)
2. (−5, 2)
3. (5, −2)
4. (5, 2)

6. A shape is rotated 180° about the origin. Point (3, −4) maps to:

1. (−3, 4)
2. (−4, 3)
3. (3, 4)
4. (4, −3)

7. What information is needed to fully describe a rotation?

1. Angle and direction only
2. Centre and direction only
3. Centre, angle, and direction (clockwise/anticlockwise)
4. Direction only

8. An enlargement has scale factor 3 and centre (0, 0). Point (2, 4) maps to:

1. (2/3, 4/3)
2. (3, 4)
3. (5, 7)
4. (6, 12)

9. An enlargement has scale factor 1/2. What happens to the shape?

1. It gets larger
2. It gets smaller
3. It reflects
4. It stays the same

10. What is an 'invariant point' in a transformation?

1. A point on the line of reflection
2. A point that does not move — it maps to itself
3. A point that moves the most
4. The centre of the shape

11. A triangle has area 8 cm². After an enlargement with scale factor 3, what is the area of the image?

1. 24 cm²
2. 48 cm²
3. 64 cm²
4. 72 cm²

12. What information is needed to fully describe a reflection?

1. The centre and angle
2. The direction of reflection only
3. The distance moved
4. The mirror line (line of reflection)

13. A point (2, 3) is reflected in the line y = x. What are the new coordinates?

1. (−2, −3)
2. (−3, 2)
3. (2, −3)
4. (3, 2)

14. What transformation maps (x, y) to (−y, x)?

1. 180° rotation about origin
2. 90° anticlockwise rotation about origin
3. Reflection in the y-axis
4. Reflection in y = x

15. A shape undergoes a translation of (3, 0) then (−5, 2). What single vector represents this combined translation?

1. (−2, 2)
2. (−8, 2)
3. (2, 2)
4. (8, 2)

16. An enlargement with scale factor −2 and centre origin maps (3, 1) to:

1. (−3, −1)
2. (−6, −2)
3. (1.5, 0.5)
4. (6, 2)

17. Which transformation changes the size of a shape but preserves its angles?

1. Enlargement
2. Reflection
3. Rotation
4. Translation

18. A shape is reflected in the line x = 2. Point (5, 3) maps to:

1. (−1, 3)
2. (−5, 3)
3. (1, 3)
4. (5, −3)

19. Rotations and reflections are both examples of what type of transformation?

1. Dilations
2. Enlargements
3. Isometries
4. Projections

20. A shape is enlarged by scale factor 2 from centre (1, 1). Point (3, 5) maps to:

1. (4, 8)
2. (5, 9)
3. (6, 10)
4. (7, 11)