[Maximum number: 6]

The points with coordinates (2,1), (5,1), (3,3) and (6,3) are the vertices of parallelogram A.

(a)

Parallelogram A is transformed to parallelogram B under the translation
$\begin{pmatrix}2\\-5\end{pmatrix}.$
On the grid, draw and label parallelogram B.

[ 2 ]

(b)

Parallelogram B is transformed to parallelogram C by a reflection in the line with equation x=2.
On the grid, draw and label parallelogram C.

[ 2 ]

(c)

Parallelogram C is transformed to parallelogram D by a rotation through $90^\circ$ anticlockwise about the point with coordinates (-5,0).
On the grid, draw and label parallelogram D.

Only use this grid if you need to redraw your parallelograms.

[ 2 ]

[Maximum number: 9]

Triangles A, B, C, and D are drawn on the grid above.
Describe fully the single transformation that maps

(a)

triangle A onto triangle B

[ 2 ]

(b)

triangle A onto triangle C

[ 2 ]

(c)

triangle A onto triangle D.

[ 3 ]

(d)

Triangle E is the image of triangle A under an enlargement with scale factor -2 and centre of enlargement (4,0).
On the grid, draw and label triangle E.

[ 2 ]

[Maximum number: 5]

Triangle A is drawn on the grid opposite.
The points (1,2), (3,-2) and (1,4) are the vertices of triangle B.

(a)

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

[ 2 ]

(b)

Triangle C is the image of triangle B under an enlargement with scale factor 2 and centre of enlargement the origin.

On the grid, draw and label triangle C.

[ 3 ]

[Maximum number: 7]

Triangles A,D and F are shown on the grid.

In this question, ignore any labelling on the triangles.

(a)

Draw the image of triangle A after reflection in the line y=x.
Label the image B.

[ 2 ]

(b)

Draw the image of triangle A after rotation $90^\circ$ clockwise about the centre (4,3).
Label the image C.

[ 2 ]

(c)

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

[ 3 ]

[Maximum number: 3]

The points with coordinates (3,1),(4,3),(6,3) and (6,1) are the vertices of a quadrilateral Q.

Quadrilateral R is the image of quadrilateral Q under a reflection in the line with equation y=x.

On the grid, draw and label quadrilateral R.

[Maximum number: 5]

The triangle A has vertices with coordinates (-2,9),(-2,6) and (-3,8).

(a)

Triangle B is the image of triangle A under the translation
$\begin{pmatrix}3\\-6\end{pmatrix}.$
On the grid, draw and label triangle B.

[ 2 ]

(b)

Triangle C is the image of triangle B under a reflection in the line with equation x+y=5.
On the grid, draw and label triangle C.

[ 3 ]

[Maximum number: 2]

The diagram shows kite A.
Kite B is the image of kite A under a reflection in the line with equation y=-1.

(a)

On the grid opposite, draw and label kite B.

[ 2 ]

(b)

Kite A is transformed to kite C by a reflection in the line with equation x=4 followed by the translation
$\begin{pmatrix}-8\\-6\end{pmatrix}.$
Kite C is the image of kite B under a rotation through $180^\circ$ about the point P.

(i)

Find the coordinates of P.

[Maximum number: 3]

The vertices of triangle A are the points with coordinates (2,2),(3,2) and (2,4).

Triangle B is transformed to triangle C by the enlargement with centre (0,-4) and scale factor $-\frac12$ .

On the grid, draw and label triangle C.

[Maximum number: 6]

Triangles A and B are shown on the grid opposite.

(a)

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

[ 2 ]

(b)

Triangle A is transformed to triangle C under the translation $\binom{-1}{-8}$ .
On the grid, draw and label triangle C.

[ 2 ]

(c)

Triangle B is transformed to triangle E by a rotation of $180^\circ$ about the point (0,1).
On the grid, draw and label triangle E.

[ 2 ]

[Maximum number: 4]

Triangle A and triangle B are drawn on the grid opposite.
Triangle A is transformed to triangle C under the translation $\begin{pmatrix}-4\\7\end{pmatrix}$ .

(a)

On the grid, draw and label triangle C.

[ 2 ]

(b)

Triangle A is transformed to triangle D under a reflection in the line with equation x=4.
On the grid, draw and label triangle D.

[ 2 ]

Question 2

Question 2(b)

Question 2(c)

Question 2(d)

Question 4

Question 4(a)

Question 4(b)

Question 4(c)

Question 4(d)

Question 4

Question 4(b)

Question 4(c)

Question 4

Question 4(a)

Question 4(b)

Question 4(c)

Question 5(b)

Question 6

Question 6(b)

Question 6(c)

Question 8

Question 8(a)

Question 8(b)

Question 8(b)(ii)

Question 6(c)

Question 6

Question 6(a)

Question 6(b)

Question 6(d)

Question 7

Question 7(a)

Question 7(b)