Transformations

A coordinate grid is displayed with the axes marked $x$ and $y$. Shape $A$ appears on the grid. $T(X)$ denotes the image of shape $X$ when it is translated by the vector $\begin{pmatrix}-1 \\ 3\end{pmatrix}$. $M(Y)$ denotes the image of shape $Y$ when it is reflected in the line $x = 2$.

Feb/March 2017

The diagram displays shapes A and B on a coordinate grid.

Feb/March 2017

The coordinate grid displays the shapes P, Q, R and S.

Feb/March 2017

The coordinate plane displays shapes $A$, $B$ and $C$.

Feb/March 2018

The diagram displays four shapes A, B, C and D on a 1 cm$^2$ square grid.

Feb/March 2018

A triangle has been plotted on a grid, with centre $X$ shown inside it.

Feb/March 2019

A shape appears on a grid, with a horizontal line AB drawn beneath it.

Feb/March 2019

The diagram presents triangles A, B and C on a coordinate grid whose axes are marked x and y.

Feb/March 2019

The coordinate grid displays shapes A, B, C and D.

Feb/March 2020

On the grid, draw the image of shape $A$ after enlarging it with scale factor $\frac{1}{2}$, centre $(3,-5)$.

Feb/March 2020

The grid diagram contains three triangles $A$, $B$ and $C$. Triangle $A$ is shaded. The coordinate grid shows the x- and y-axes. Angle $w$ is labelled at the top vertex of triangle $B$.

Feb/March 2021

The coordinate grid contains triangle A, triangle B and triangle C plotted on one common set of axes.

Feb/March 2021

The figure shows three triangles, A, B and C, set on a grid where each square represents 1 cm$^2$.

Feb/March 2023

Enlarge triangle $T$ with scale factor 3 about centre $(0,2)$.

Feb/March 2023

The diagram displays two shapes, $A$ and $B$, plotted on a grid.

Feb/March 2024

The coordinate grid displays triangles labelled $A$, $B$ and $C$.

Feb/March 2024

The diagram depicts three shapes, $A$, $B$ and $C$, on a $\text{cm}^2$ grid. The coordinate axes carry the labels $x$ and $y$.

Feb/March 2025

A coordinate grid is displayed, and triangles $A$ and $B$ are marked on it.

Feb/March 2025

A figure is made from 3 congruent rectangles. Starting from the rectangle beside it, each rectangle is turned through $90^\circ$ about one vertex. Point $A$ is at $(2, 5)$. Point $B$ is at $(4, 1.5)$. A coordinate diagram is displayed and marked NOT TO SCALE. The diagram includes points $A$, $B$, $C$ and $D$.

Feb/March 2025

Calculate the product $\begin{pmatrix} 3 & 7 \\ -1 & 4 \end{pmatrix} \begin{pmatrix} -2 & 1 \\ 4 & 2 \end{pmatrix}$.

May/June 2015

Determine the $2 \times 2$ matrix that represents a $90^{\circ}$ clockwise rotation about $(0,0)$.

May/June 2015

The diagram contains four shapes, labelled A, B, C and D.

May/June 2015

The diagram contains one shaded quadrilateral together with three further quadrilaterals, labelled $A$, $B$ and $C$, on a $1\text{ cm}^2$ grid.

May/June 2015

Reflect triangle $A$ about the line $y = -3$.

May/June 2015

The diagram displays shapes A, B and C on a coordinate grid.

May/June 2015

The coordinate grid shows three triangles named U, T and V.

May/June 2015

The matrix $M$ is defined as $\begin{pmatrix} 5 & 1 \\ -3 & -2 \end{pmatrix}$.

May/June 2016

Shapes A, B and C are displayed on a coordinate grid.

May/June 2016

The grid displays triangle A, triangle B and triangle C.

May/June 2016

The diagram depicts 2 sides of a regular polygon whose exterior angle is $36^{\circ}$. The diagram is not drawn to scale.

May/June 2016

The coordinate grid displays triangle $T$ and triangle $Q$.

May/June 2016

The diagram displays shape $A$ on a coordinate grid.

May/June 2016

The diagram displays triangles $T$, $U$ and $V$ on a coordinate grid.

May/June 2016

Two pentagons, A and B, are drawn on a grid. Beneath the figure there is a word list: opposite, congruent, reflected, translated.

May/June 2017

The grid contains one shaded polygon together with two additional polygons, A and B.

May/June 2017

Describe fully the single transformation that takes triangle A to triangle B.

May/June 2017

The diagram displays three triangles, $A$, $B$ and $C$, plotted on a coordinate grid.

May/June 2017

A coordinate grid displays triangle A and triangle B. Triangle A is shaded, and the x- and y-axes are labelled.

May/June 2017

On the grid, sketch the image of triangle T after translation by the vector $\begin{pmatrix}6\\-5\end{pmatrix}$.

May/June 2017

Describe fully the one transformation that takes shape A to shape B.

May/June 2017

A rectangle is plotted on a grid, and the centre of enlargement $O$ is marked. The diagram appears on a grid.

May/June 2018

A figure named $R$ is shown on a coordinate grid whose axes are marked $x$ and $y$.

May/June 2018

The coordinate grid displays triangle $U$ with vertices roughly at $(-3,4)$, $(5,4)$ and $(5,6)$, together with triangle $T$ with vertices roughly at $(2,2)$, $(6,2)$ and $(6,3)$.

May/June 2018

The diagram represents a quadrilateral $PQRS$ formed from four congruent triangles A, B, C and D.

May/June 2018

The grid contains one shaded quadrilateral and a second quadrilateral marked A.

May/June 2018

The diagram plots triangles $A$, $B$ and $C$ on a coordinate grid.

May/June 2018

The diagram depicts triangles A, B, C and D plotted on a coordinate grid with labelled x- and y-axes.

May/June 2018

The coordinate grid contains triangle A and triangle B.

May/June 2018

The matrices are defined by $M = \begin{pmatrix}2 & 1 \\ 4 & 3\end{pmatrix}$, $N = (1\;\;2)$, and $P = \begin{pmatrix}4 \\ 1\end{pmatrix}$.

May/June 2018

The figure depicts two regular pentagons. Pentagon FGHIJK is an enlargement of pentagon ABCDE about centre O. The labelled points are A, B, C, D, E, O, together with F, G, H, J and K. Diagram is not drawn to scale.

May/June 2019

State the matrix for an enlargement with scale factor $3$ and centre $(0,0)$.

May/June 2019

The coordinate grid contains triangle $A$ in the first quadrant, triangle $B$ in the fourth quadrant, and triangle $C$ in the second quadrant.

May/June 2019

The grid displays shapes A, B and C on coordinate axes.

May/June 2019

Four shapes A, B, C and D, together with point P, are drawn on a $1\,\text{cm}^2$ grid.

May/June 2019

Three quadrilaterals appear on a $1\text{ cm}^2$ grid. One quadrilateral is shaded, and the other two are labelled A and B. The grid also displays x- and y-axes marked $x$ and $y$ with coordinates indicated.

May/June 2019

A coordinate grid is displayed, and the shaded figure is marked T. The vertices of shape T are plotted on the grid. Both the x-axis and y-axis run from 0 to 10. Shape T sits with one vertex at about (2,1), one more at (4,3), another at (5,3) and the last at (5,1).

May/June 2019

The diagram displays triangles A and B on a coordinate grid.

May/June 2019

A coordinate grid shows three triangles, marked A, B and C.

May/June 2021

The coordinate grid places triangle $T$ in quadrant I and triangle $A$ in quadrant IV.

May/June 2021

The diagram contains three triangles, A, B and C, plotted on a 1 cm$^2$ grid.

May/June 2021

The grid uses $1\text{ cm}^2$ squares and displays four polygons. One polygon is shaded on the grid. The polygons are marked A, B and C, and the coordinate axes carry the labels $x$ and $y$.

May/June 2021

The diagram contains four triangles placed on a grid. The triangles are labelled A, B, C and T. The axes are marked x and y.

May/June 2021

Triangles $T$ and $A$ are drawn on the grid.

May/June 2021

On the grid, construct a triangle congruent to triangle A.

May/June 2022

A coordinate grid displays triangle $T$ and triangle $P$, with triangle $T$ shaded. The axes are labelled $x$ and $y$.

May/June 2022

Give the coordinates of point $A$.

May/June 2022

The diagram contains three quadrilaterals drawn on a 1 cm$^2$ grid. Quadrilateral A is placed to the left of the y-axis, quadrilateral B is placed to the right of the y-axis and above the x-axis, and quadrilateral C is placed below the x-axis. The three quadrilaterals are labelled A, B and C respectively.

May/June 2022

Draw all lines of symmetry for the rectangle.

May/June 2022

The diagram displays triangles $T$ and $A$ on a coordinate grid.

May/June 2022

The diagram illustrates three shapes, $A$, $B$ and $C$, drawn on a $1\,\text{cm}^2$ grid with the $x$- and $y$-axes labelled.

May/June 2023

A coordinate grid displays three congruent triangles, A, B and C, placed in different locations.

May/June 2023

A coordinate grid displays shape A and shape B on axes marked $x$ and $y$.

May/June 2023

A coordinate grid is drawn, with the $x$-axis and $y$-axis marked. Triangle A lies above the $x$-axis, while triangle B lies below the $x$-axis.

May/June 2023

Complete this statement. The mathematical term for any polygon with 4 sides is a [BLANK].

May/June 2023

For this quadrilateral, draw any symmetry lines and state its mathematical name.

May/June 2023

The coordinate grid displays triangle A and triangle B.

May/June 2024

The coordinate grid displays triangle $T$ and triangle $W$ on axes.

May/June 2024

The diagram displays a point $P$, three triangles $A$, $B$ and $C$, together with part of triangle $D$, drawn on a $1\text{ cm}^2$ grid.

May/June 2024

The diagram contains four quadrilaterals, $A$, $B$, $C$ and $D$, placed on a $1\text{ cm}^2$ grid.

May/June 2024

Find how many adults go into the shop.

May/June 2024

Using the grid, draw the image of triangle $T$ after reflecting it in the $x$-axis.

May/June 2024

The diagram shows a coordinate grid with triangles marked $A$, $B$ and $T$.

May/June 2025

A point P together with three triangles, A, B and C, is shown on a $1\text{ cm}^2$ grid.

May/June 2025

Translate triangle $T$ using the vector $\begin{pmatrix}0\\-2\end{pmatrix}$.

May/June 2025

A coordinate plane is displayed, with triangle A and triangle B plotted on it.

May/June 2025

A coordinate grid is displayed showing shapes A, B and C. Shape A is shaded. Shape B lies to the right of the y-axis. Shape C is positioned below the x-axis.

May/June 2025

The diagram presents three shapes A, B and C on a coordinate grid with the x- and y-axes labelled.

May/June 2025

A coordinate grid is displayed, with shape $A$ plotted on it.

Oct/Nov 2015

The coordinate plane displays triangles $S$ and $T$.

Oct/Nov 2015

The coordinate grid below includes shape $A$.

Oct/Nov 2015

Write down the order of rotational symmetry for this figure.

Oct/Nov 2015

The coordinate grid displays four shapes $A$, $B$, $C$ and $D$.

Oct/Nov 2015

Turn triangle $A$ through $180^{\circ}$ about $(0, 0)$.

Oct/Nov 2015

The four shapes A, B, C and D are shown on a coordinate grid in the diagram.

Oct/Nov 2015

The grid contains three triangles named T, U and W.

Oct/Nov 2015

A coordinate grid displays triangle $A$, shaded, with vertices at $(3,1)$, $(5,1)$ and $(5,5)$, and triangle $B$ with vertices at $(1,2)$, $(2,2)$ and $(2,4)$. The coordinate axes are marked $x$ and $y$.

Oct/Nov 2016

The diagram presents two trapeziums, A and B, on a grid where each square has area 1 $\text{cm}^2$.

Oct/Nov 2016

Write down the mathematical name of polygon A.

Oct/Nov 2016

Reflect flag $H$ across the $x$-axis.

Oct/Nov 2016

A coordinate grid displays triangle A and triangle B.

Oct/Nov 2016