Transformations (Cambridge (CIE) O Level Maths): Exam Questions

Describe fully the single transformation that maps shape T onto shape A.

On the grid, reflect shape T in the line $y=x$.

Describe fully the single transformation that maps triangle T onto triangle P.

i) Reflect triangle T in the line $x=1$.

[2]

ii) Rotate triangle T  through 90° anticlockwise about (6, 0).

[2]

On the grid, draw the image of

i) triangle A after a rotation of 90° anticlockwise about (0, 0),

[2]

ii) triangle A after a translation by the vector $$\begin{gathered} \left(3 \\ -5\right) \end{gathered}$$.  

[2]

Draw the image of triangle A after a reflection in the line $y=-x.$

Draw the image of triangle A after a translation by the vector $\left(\begin{array}{c}-2\\ -9\end{array}\right).$

i) Draw the reflection of triangle $T$ in the line $x=0$. 

[2]

ii) Draw the rotation of triangle $T$ about$(–2,–1)$through 90° clockwise. 

[2]

Describe fully the single transformation that maps triangle $T$onto triangle $U$.

On the grid, draw the image of

i) shape A after a translation by the vector $\left(\begin{array}{c}-3\\ 4\end{array}\right)$,  

[2]

ii) shape A after a rotation through 180° about (0, 0),  

[2]

Reflect shape T in the line $y=x.$

On the grid, draw the image of

i) triangle $A$ after a translation by the vector $\left(\begin{array}{c}-3\\ 2\end{array}\right)$.   

[2]

ii) triangle $A$ after a reflection in the line $y=x$.  

[2]

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

Draw the reflection of flag A in the line $y=-1$.

i) Translate triangle T by the vector $\left(\begin{array}{c}-2\\ -5\end{array}\right)$. 

[2]

ii) Rotate triangle T through 90° anticlockwise about (0, 0). 

[2]

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

Describe fully the single transformation that maps triangle T onto triangle P.

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

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

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

Triangle $D$ is the image of triangle A after an enlargement, scale factor 2, with centre of enlargement (1, 2).

Draw triangle $D$.

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

Describe fully the single transformation that maps

i) shape A onto shape B,

[3]

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

[3]

A line joins $A\left(1,3\right)$ to $B\left(5,8\right)$.
The line $AB$ is transformed to the line $PQ$.

Find the co-ordinates of $P$ and the co-ordinates of $Q$ after $AB$ is transformed by

i) a rotation through 90° anticlockwise about the origin,

$P$ $($........................ , ........................$)$     

     $Q$ $($........................ , ........................$)$ [2]

ii) a reflection in the line $x=2$,

$P$ $($........................ , ........................$)$     

     $Q$ $($........................ , ........................$)$ [2]

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

On the grid, draw the image of shape A after an enlargement, scale factor 2, centre (-7, 0).

i)   Translate shape T by the vector $\left(\begin{array}{c}-1\\ 6\end{array}\right).$ Label the image A.

 [2]

ii)   Rotate shape T about the point $(5,3)$ through 180°. Label the image B.

 [2]

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

[3]

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

Describe fully the single transformation that maps

i) triangle A onto triangle B,  

[2]

ii) triangle A onto triangle C.  

[3]

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

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

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

On the grid, draw the image of triangle A after an enlargement by scale factor 2, centre (7, 3).

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

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

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

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

Enlarge triangle T  by a scale factor of -2, centre (1, 0).

Describe fully the single transformation that maps

i) triangle A onto triangle B,  

[3]

ii) triangle A onto triangle C.  

[3]

A line joins $A\left(1,3\right)$ to $B\left(5,8\right)$. 
The line $AB$ is transformed to the line $PQ$.

Describe fully the single transformation that maps the line $AB$ onto the line $PQ$ where $P$ is the point $(-2,-6)$ and $Q$ is the point $(-10,-16)$.

On the grid, draw the image of triangle A after an enlargement, scale factor $-\frac{1}{2}$, centre $(3,0)$,

Describe fully the single transformation that maps flag A onto flag C, 

Enlarge triangle T by scale factor $-\frac{1}{2}$ with centre (0, 0).

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

Describe fully the single transformation that maps triangle T onto triangle U.

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

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