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.
The shaded triangle, drawn on the grid, is one part of a shape whose area is $4$ times the shaded area and which has rotational symmetry of order $4$ about $M$. Complete the shape.
Triangle $A$ is taken onto triangle $C$ by the translation $P$ with vector $\begin{pmatrix}3 \\ -1\end{pmatrix}$. Draw and label triangle $C$.
Triangle $A$ is taken onto triangle $B$ by a reflection $Q$. State the equation of the line of this reflection.
Triangle $C$ is taken onto triangle $D$ by reflection $Q$. Describe fully the single transformation that maps triangle $B$ onto triangle $D$.
Transformation $R$ is a reflection in the line $y = 0$. $RQ(A) = E$. Find the coordinates of the vertices of triangle $E$.
Describe fully the single transformation that maps triangle $A$ onto triangle $E$.
Find the matrix that represents the transformation that maps triangle $A$ onto triangle $E$.