Transformations (OCR GCSE Maths: Foundation): Exam Questions

Describe fully the single transformation that maps

i) triangle $A$ onto triangle $B$,

[3]

ii) triangle $A$ onto triangle $C$,

[2]

iii) triangle $A$ onto triangle $D$.

[3]

On the grid, draw the image of triangle $A$ after a reflection in the line $x=-2$.

The grid shows a point $E$ and four quadrilaterals, $A,B,C$ and $D$.

Describe fully the single transformation that maps

i) shape $A$ onto shape $B$,

[2]

ii) shape $A$ onto shape $C$,

[2]

iii) shape $A$ onto shape $D$.

[3]

i) Write down the coordinates of the point $E$.

[1]

ii) On the grid, draw the image of shape $A$ after an enlargement by scale factor 3, centre $E$.

[2]

Describe fully the single transformation that maps

i) triangle $A$ onto triangle $B$,

[3]

ii) triangle $A$ onto triangle $C$,

[2]

iii) triangle $A$onto triangle $D$.

[3]

On the grid, draw the image of triangle $A$ after a reflection in the line $y=-1$.

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

The diagram shows four shapes $A,B,C$and $D$.

Describe fully the single transformation that maps shape $A$onto

i) shape $B$,

[3]

ii) shape $C$,

[2]

iii) shape $D$.

[3]

On the grid, draw the image of shape A after a translation by the vector $\left(\begin{array}{c}-3\\ 2\end{array}\right)$

The diagram shows two triangles, $A$ and $B$, and two points $P$and $Q$.

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

[3]

ii) On the grid, draw the image of triangle A after a translation by the vector$\left(\begin{array}{c}4\\ -2\end{array}\right)$

[2]

iii) On the grid, draw the image of triangle $A$after a rotation through 90° clockwise about (0, 0).

[2]

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

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

On the grid, draw the image of triangle $A$ after a translation by the vector $\left(\begin{array}{c}-2\\ -3\end{array}\right)$

On the grid, draw the image of triangle $A$ after a rotation of 180° about (2, 1).

Describe fully the single transformation that maps

i) shape $A$ onto shape $B$,

[3]

ii) shape $B$ onto shape $C$,

[2]

iii) shape $C$ onto shape $D$.

[3]

On the grid, draw the image of shape $D$ after a reflection in the line $x=-1$.

Rectangle A and rectangle B are drawn on the coordinate grid.

Describe fully two different single transformations that map rectangle A onto rectangle B.

Describe fully the single transformation that maps

i) triangle $A$ onto triangle $B$,

[3]

ii) triangle $A$ onto triangle $C$,

[2]

iii) triangle $A$ onto triangle $D$.

On the grid, enlarge triangle $A$ by scale factor 0.5, centre (4, 0).

On the grid, draw the image of

ia) triangle $A$ after a translation by the vector $\left(\begin{array}{c}3\\ -7\end{array}\right)$,

[2]

ib) triangle $A$after a reflection in the line $x$ = 3.

[2]

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

[3]

iii) Describe fully the single transformation that maps triangle $A$ onto triangle $C$.

[3]

On the grid, draw the image of

ia) shape $A$ after an enlargement with scale factor $\frac{1}{2}$ , centre ( 3 , -5 )

[2]

ib) shape $B$ after a reflection in the line $y=-3$.

[2]

ii) Describe fully the single transformation that maps triangle $C$ onto triangle $D$.

[3]

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

Describe fully the single transformation that maps

i) triangle $A$ onto triangle $B$,

[3]

ii) triangle$A$ onto triangle $C$.

[3]

On the grid,

i) translate triangle $A$by the vector $\left(\begin{array}{c}6\\ -2\end{array}\right)$,

[2]

ii) reflect triangle $A$ in the line $y$= 1.

[2]

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

Describe fully the single transformation that maps shape $A$ onto shape $C$.

On the grid, draw the image of shape $A$ after a translation by the vector $\left(\begin{array}{c}3\\ 1\end{array}\right)$.

On the grid, draw the image of shape$B$ after a reflection in the line $y=1$.

The diagram shows four shapes $A,B,C$and $D$ and a point $P$ on a 1cm² grid.

Find

i) the perimeter of shape $A$,

............................................... cm [1]

ii) the area of shape $A$.

..............................................cm² [1]

i) Write down the co-ordinates of point $P$.

[1]

ii) Find the co-ordinates of the image of point $P$ when

a) $P$ is reflected in the $y$-axis,

[1]

b) $P$ is reflected in the line $y=6$.

[2]

iii) Find the vector that translates point $P$ to the point ( 49, -12).

[2]

Describe fully the single transformation that maps

i) shape $A$ onto shape $B$,

[3]

ii) shape $C$ onto shape $D$.

[3]

Describe fully the single transformation that maps the shaded quadrilateral onto

i) quadrilateral $A$,

[2]

ii) quadrilateral $B$.

[3]

On the grid,

i) reflect the shaded quadrilateral in the line $x=1,$

[2]

ii) enlarge the shaded quadrilateral by scale factor $\frac{1}{2}$, centre $(-1,0).$

[2]