Transformations

$A$ lies at $(1,7)$ and $B$ lies at $(6,7)$. By the translation $\begin{pmatrix}0\\-5\end{pmatrix}$, the line $AB$ is carried onto the line $PQ$.

May/June 2015

The diagram displays triangles $A$ and $B$.

May/June 2015

The matrix $\begin{pmatrix}4 & 0 \\ 0 & 1\end{pmatrix}$ is the matrix for the transformation $T$.

May/June 2015

Describe fully the one transformation that takes triangle $A$ to triangle $B$.

May/June 2015

Triangles $A$, $B$, $C$ and $D$ have been drawn on a centimetre square grid.

May/June 2016

The diagram displays triangle $A$.

May/June 2017

The sketch depicts line segment $AB$, connecting $A(2,3)$ with $B(5,4)$.

May/June 2017

The figure shows triangles $A$ and $B$.

May/June 2017

Triangle $A$ is first translated, and then an enlargement with centre $(10,-4)$ maps it to triangle $B$. The translation sends triangle $A$ to triangle $C$, while the enlargement sends triangle $C$ to triangle $B$.

May/June 2018

The grid contains triangles $A$ and $B$ together with rectangle $R$.

May/June 2018

Shapes $A$ and $B$ are shown on the grid.

May/June 2019

Triangles $A$ and $B$ are shown on the grid.

May/June 2019

Triangles $A$, $B$ and $C$ have been plotted on the grid.

May/June 2021

Triangles $A$ and $B$ are shown on the grid.

May/June 2021

Points A and B are corners of a quadrilateral. Line $L$ is the quadrilateral’s line of symmetry.

May/June 2022

Triangles $A$, $B$ and $C$ are shown in the diagram.

May/June 2022

Matrix $A$ obeys an equation. Shapes $A$ and $B$ are displayed.

May/June 2022

The diagram presents triangles $A$ and $B$.

May/June 2023

Shapes $A$ and $B$ are shown on the grid.

May/June 2023

Triangle $A$ is moved onto triangle $P$ by the translation of $\begin{pmatrix}1 \\ -3\end{pmatrix}$. Draw triangle $P$.

May/June 2024

Describe in full the single transformation that carries shape $A$ onto shape $B$.

May/June 2024

On the grid, triangle $A$ and triangle $B$ are shown.

May/June 2025

The diagram depicts triangle $A$ alongside triangle $B$.

May/June 2025

A rectangle with side lengths $2.4\text{ cm}$ and $5.6\text{ cm}$ is enlarged using a scale factor of $3.25$.

May/June 2025

The shaded triangle, shown on the grid, is one part of a quadrilateral with a single line of symmetry. The area of the quadrilateral is twice the area of the triangle. Since the line of symmetry is not vertical, finish the quadrilateral.

Oct/Nov 2015

State the single transformation that carries triangle $A$ onto triangle $B$.

Oct/Nov 2016

Triangle $ABC$ is rotated about centre $O$ by $110^\circ$ clockwise to give triangle $A'B'C'$.

Oct/Nov 2016

The diagram displays triangle $A$. An enlargement maps triangle $A$ onto triangle $B$. The enlargement is centred at $(3,3)$ and has scale factor $-2$.

Oct/Nov 2016

This diagram is a shape built from five identical triangles, and it has rotational symmetry.

Oct/Nov 2017

The grid displays triangle $A$.

Oct/Nov 2017

On the grid, triangle $A$ has been plotted.

Oct/Nov 2018

On the grid, shape $A$ and shape $B$ are shown.

Oct/Nov 2019

On the grid, shapes $A$, $B$ and $C$ are plotted.

Oct/Nov 2019

On the grid, triangle $A$, triangle $B$ and the point $P(-2,2)$ are shown.

Oct/Nov 2020

The diagram depicts triangle $A$ alongside triangle $B$.

Oct/Nov 2021

The diagram displays triangle $A$ and triangle $B$.

Oct/Nov 2021

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

Oct/Nov 2022

Reflect triangle $A$ in the line $x = 1$. Give the image the label $B$.

Oct/Nov 2022

On a centimetre square grid, shape $A$ and triangles $P$ and $Q$ are shown.

Oct/Nov 2023

On the grid, triangle $A$, triangle $B$ and line $R$ are shown.

Oct/Nov 2023

The grid displays triangle $A$ alongside triangle $B$.

Oct/Nov 2024

Plot the image of shape $A$ after it has been translated by vector $\begin{pmatrix}3\\-5\end{pmatrix}$.

Oct/Nov 2024

The diagram displays triangle A and triangle B on coordinate axes.

Oct/Nov 2025

Shape A and shape B are plotted on the grid.

Oct/Nov 2025