Transformations (Edexcel IGCSE Maths): Exam Questions

Rotate trapezium T $180^{\circ}$ about the origin. Label the new trapezium A.

Translate trapezium T by the vector $( \begin{gathered} - 1 \\ - 3 \end{gathered} )$ Label the new trapezium B.

Describe the single transformation that maps shape A onto shape B.

Describe the single transformation that maps triangle A onto triangle B.

Describe fully the single transformation that maps triangle P onto triangle Q.

On the grid, reflect shape A in the line $y=x$.

Describe fully the single transformation that maps triangle B onto triangle C.

Reflect shape P in the line $y=x$.

Describe fully the single transformation that maps triangle A onto triangle B.

On the grid, enlarge the shape by scale factor 3, centre A.

A shaded shape is shown on the grid.

On the grid, enlarge the shape by a scale factor of 2, centre* A*.

Here is a shape $P$drawn on a grid of squares.

On the grid, translate shape $P$ by the vector $( \begin{gathered} 10 \\ 8 \end{gathered} )$

Label the new shape $R$.

Translate triangle $S$ by the vector $( \begin{gathered} - 4 \\ - 6 \end{gathered} )$

Label the new triangle $T$.

A shape is translated by the vector $( \begin{gathered} 0 \\ 4 \end{gathered} )$

In which direction does the shape move? Circle your answer.

The vector $( \begin{gathered} - 2 \\ 3 \end{gathered} )$ translates A to B.

Circle the vector that translates B to A.

Here is a coordinate grid.

Shape S is translated to Shape T using vector $( \begin{gathered} p \\ q \end{gathered} )$

Write down the values of $p$ and $q$.

$p$ = ....................

$q$ = ....................

You may use this coordinate grid to help you answer the following questions.

Describe fully the single transformation that is equivalent to

a translation of $( \begin{gathered} - 7 \\ 2 \end{gathered} )$ followed by a translation of $( \begin{gathered} 3 \\ - 5 \end{gathered} )$.

Rotate triangle A $90^{\circ}$ clockwise, centre $O$.

Enlarge triangle B by scale factor 3, centre (1, 2).

Describe fully the single transformation that maps triangle A onto triangle B.

Reflect shape P in the line $x=-1$.

Rotate shape P $90^{\circ}$ anticlockwise about (0, 1).

Rotate triangle A $90^{\circ}$ anticlockwise with centre $O$.

Describe fully the single transformation that maps triangle B onto triangle C.

Describe fully the single transformation that maps triangle A onto triangle B.

Translate shape A by the vector $( \begin{gathered} - 3 \\ 2 \end{gathered} ).$

Describe fully the single transformation that maps shape Q onto shape R.

Translate shape P by the vector $( \begin{gathered} 5 \\ - 2 \end{gathered} )$

Describe fully the single transformation that maps shape A onto shape B.

On the grid, rotate shape S by $90^{\circ}$ anticlockwise about the origin.

Describe fully the single transformation that maps shape P onto shape Q.

On the grid, rotate shape A $180^{\circ}$ about the point (1, 1).

On the grid, enlarge triangle B by scale factor 3, centre (0, 0).

Describe fully the single transformation that maps shape P onto shape Q.

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation $( \begin{gathered} c \\ d \end{gathered} )$ Find the value of c and the value of $d$.

The diagram shows a sketch of triangle A and triangle B on a coordinate grid.

Given that triangle A has been translated to give triangle B, work out the value of $d$, the value of $e$ and the value of $f$

The diagram shows shape P and shape Q drawn on a grid.

Describe fully the single transformation that maps shape P onto shape Q

On the grid above, rotate shape P 90° clockwise about (3, 5) Label your shape R

Reflect shape T in the line $y=x$

Describe fully the single transformation that maps triangle A onto triangle B

Enlarge shape A by scale factor $\frac{1}{3}$ centre (0, 1).

The diagram shows triangle A drawn on a grid.

Kyle reflects triangle A in the $x$-axis to get triangle B. He then reflects triangle B in the line $y=x$ to get triangle C.

Amy reflects triangle A in the line $y=x$ to get triangle D. She is then going to reflect triangle D in the $x$-axis to get triangle E.

Amy says that triangle E should be in the same position as triangle C.

Is Amy correct? You must show how you get your answer.

Shape P is reflected in the line $x=-1$ to give shape Q.

Shape Q is reflected in the line $y=0$ to give shape R.

Describe fully the single transformation that maps shape P onto shape R.

Shape T is reflected in the line $x=-1$ to give shape R. Shape R is reflected in the line $y=-2$ to give shape S.

Describe the single transformation that will map shape T to shape S.

Triangle $ABC$ is drawn on a centimetre grid. $A$ is the point (2, 2). $B$ is the point (6, 2). $C$ is the point (5, 5).

Triangle $PQR$ is an enlargement of triangle $ABC$ with scale factor $\frac{1}{2}$ and centre (0, 0). Work out the area of triangle $PQR$.

Enlarge the shaded triangle by a scale factor $1\frac{1}{2}$, centre $P$.

ABC is a right-angled triangle.

Here is Sarah's method to find the length of $BC$.

$\begin{gathered} B C^{2} & = A B^{2} + A C^{2} \\ = 6^{2} + 8^{2} \\ = 100 \\ B C & = 10 \end{gathered}$

What mistake has Sarah made in her method?

Roy is going to enlarge triangle $PQR$ with centre $C$ and scale factor $1\frac{1}{2}$

He draws triangle $XYZ$.

Explain why Roy's diagram is not correct.

Triangle A is rotated 90° clockwise about the point (0, 1) to give triangle B. Triangle B is translated by the vector $( \begin{gathered} - 3 \\ - 1 \end{gathered} )$ to give triangle C. Describe fully the single transformation that maps triangle A onto triangle C.

Here is a shape $P$drawn on a grid of squares.

On the grid, rotate shape $P$ 180° about the point (–3, 2) Label the new shape $Q$.

Describe fully the single transformation that maps triangle $A$ onto triangle $B.$