Transformations Quiz

Question 1

What are the four main types of geometric transformation?

Accepted Answer

Translation, rotation, reflection, enlargement

Answer

Stretch, compress, flip, spin

Answer

Scaling, shearing, tilting, sliding

Answer

Movement, mirror, spin, zoom

Question 2

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

Accepted Answer

(5, 1)

Answer

(1, 9)

Answer

(6, −20)

Answer

(5, 9)

Question 3

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

Accepted Answer

(4, −3)

Answer

(−4, 3)

Answer

(3, 4)

Answer

(−4, −3)

Question 4

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

Accepted Answer

(−3, −2)

Answer

(3, 2)

Answer

(−3, 2)

Answer

(2, −3)

Question 5

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

Accepted Answer

(5, −2)

Answer

(−5, 2)

Answer

(−2, −5)

Answer

(5, 2)

Question 6

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

Accepted Answer

(−3, 4)

Answer

(3, 4)

Answer

(4, −3)

Answer

(−4, 3)

Question 7

What information is needed to fully describe a rotation?

Accepted Answer

Centre, angle, and direction (clockwise/anticlockwise)

Answer

Direction only

Answer

Angle and direction only

Answer

Centre and direction only

Question 8

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

Accepted Answer

(6, 12)

Answer

(5, 7)

Answer

(2/3, 4/3)

Answer

(3, 4)

Question 9

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

Accepted Answer

It gets smaller

Answer

It gets larger

Answer

It stays the same

Answer

It reflects

Question 10

What is an 'invariant point' in a transformation?

Accepted Answer

A point that does not move — it maps to itself

Answer

A point that moves the most

Answer

The centre of the shape

Answer

A point on the line of reflection

Question 11

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

Accepted Answer

72 cm²

Answer

24 cm²

Answer

48 cm²

Answer

64 cm²

Question 12

What information is needed to fully describe a reflection?

Accepted Answer

The mirror line (line of reflection)

Answer

The direction of reflection only

Answer

The centre and angle

Answer

The distance moved

Question 13

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

Accepted Answer

(3, 2)

Answer

(−2, −3)

Answer

(2, −3)

Answer

(−3, 2)

Question 14

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

Accepted Answer

90° anticlockwise rotation about origin

Answer

Reflection in y = x

Answer

180° rotation about origin

Answer

Reflection in the y-axis

Question 15

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

Accepted Answer

(−2, 2)

Answer

(8, 2)

Answer

(−8, 2)

Answer

(2, 2)

Question 16

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

Accepted Answer

(−6, −2)

Answer

(6, 2)

Answer

(−3, −1)

Answer

(1.5, 0.5)

Question 17

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

Accepted Answer

Enlargement

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 18

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

Accepted Answer

(−1, 3)

Answer

(−5, 3)

Answer

(5, −3)

Answer

(1, 3)

Question 19

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

Accepted Answer

Isometries

Answer

Enlargements

Answer

Dilations

Answer

Projections

Question 20

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

Accepted Answer

(5, 9)

Answer

(6, 10)

Answer

(4, 8)

Answer

(7, 11)