Transformations Quiz

1. A shape is translated by the vector $\begin{pmatrix} -3 \\\\ 5 \end{pmatrix}$. What happens to the point $(2,1)$?

• A. It moves to $(-1,6)$
• B. It moves to $(5,-4)$
• C. It moves to $(-1,-4)$
• D. It moves to $(1,6)$

2. Which single piece of extra information, together with the word 'reflection', fully describes a reflection?

• A. The scale factor
• B. The centre of reflection
• C. The equation of the mirror line
• D. The angle of turn

3. A shape is enlarged by scale factor $\tfrac{1}{3}$ from a centre point. What happens to the shape?

• A. It gets three times bigger and flips
• B. It gets three times smaller, same orientation
• C. It stays the same size but moves
• D. It gets three times bigger, same orientation

4. Point $(4,-2)$ is rotated $90°$ clockwise about the origin. What is the image?

• A. $(-2,-4)$
• B. $(2,4)$
• C. $(-2,4)$
• D. $(2,-4)$

5. A triangle is enlarged by scale factor $-2$ from centre $(0,0)$. Vertex $A$ is at $(1,3)$. Where is the image $A'$, and how does the image compare to the object?

• A. $A'(2,6)$; same orientation, twice the size
• B. $A'(-2,-6)$; inverted through the centre, twice the size
• C. $A'(-1,-3)$; same size, reflected
• D. $A'(2,6)$; inverted, same size