Transformations and Vectors Structured Questions | Cambridge O Level Mathematics (Syllabus D)

Question 1 of 4 · 7 marks

Transformations and Vectors · 1 - Transformations

3 parts

Mathematics (Syllabus D) 4024 · Question 1Paper 2 · Calculator[7 marks]

Quadrilateral $P$ has vertices $A(1, 1)$ , $B(4, 1)$ , $C(5, 3)$ , and $D(2, 3)$ .

(a)

Quadrilateral $P$ is translated by vector $\mathbf{v} = \begin{pmatrix} -3 \\ 5 \end{pmatrix}$ to give quadrilateral $Q$ . Write down the coordinates of vertex $B'$ .

[1]

(b)

Quadrilateral $P$ is rotated $90^\circ$ clockwise about the center $(1, 1)$ to give quadrilateral $R$ . Describe fully the single transformation that maps quadrilateral $R$ back to quadrilateral $P$ .

[2]

(c)

Quadrilateral $P$ is enlarged by scale factor $k = -2$ with center of enlargement $(3, 2)$ to form quadrilateral $S$ . Find the coordinates of the image vertex $A''$ corresponding to $A(1, 1)$ .

[4]