Answer:
C
Explanation:
Enlargement is a type of transformation that changes the size (and position) of a shape.
To perform an enlargement, we need a centre of enlargement. When a shape is enlarged from the centre of enlargement, the distances between the centre and each vertex of the shape are multiplied by the scale factor.
From observation of the given diagram, the distance between the centre of enlargement "x" and vertex V is two units down and 1 unit right.
To enlarge the trapezium by a scale factor of 3, we need to multiply the distance between "x" and each vertex of the trapezium by 3. Therefore, the position of the vertex of the new trapezium that corresponds to vertex V is 2 × 3 = 6 units down and 1 × 3 = 3 units to the right of "x".
Therefore, the letter that marks the position of the vertex of the new trapezium that corresponds to vertex V is the letter C.