Transformations (Cambridge International IGCSE Maths): Exam Questions

Reflect the shape in line $L$.

Reflect the below shape in the line $AB$.

Draw the enlargement of the triangle by scale factor 3, centre $X$.

Shape $A$ is shown on the grid.

On the grid, enlarge shape $A$ by scale factor 3.

Enlarge the rectangle using a scale factor of 3 and centre of enlargement $O$.

Describe fully the single transformation that maps

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

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

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

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 $B$,

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

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

Extract:

The grid shows a point ![E] and four quadrilaterals, ![A comma space B comma space C] and ![D].

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

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

Describe fully the single transformation that maps

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

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

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

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 $B$,

ii) shape $C$,

iii) shape $D$.

Extract:

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

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

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$B$.

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

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

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

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

Extract:

qp3-0580-33-paper-3-oct-nov-2019-cie-igcse-maths

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

Extract:

qp3-0580-33-paper-3-oct-nov-2019-cie-igcse-maths

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 $B$,

ii) shape $B$ onto shape $C$,

iii) shape $C$ onto shape $D$.

Extract:

q7-058032-march2018-cie-igcse-maths-core (the diagram showing shapes A, B, C, D and the grid)

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

Describe fully the single transformation that maps

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

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

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 $( \begin{gathered} 3 \\ - 7 \end{gathered} )$,

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

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

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

On the grid, draw the image of

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

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

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

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

Describe fully the single transformation that maps

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

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

Extract:

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

https://cdn.savemyexams.com/uploads/2023/01/qp5-0580-31-paper-3-oct-nov-2019-cie-igcse-maths.png

On the grid,

i) translate triangle $A$by the vector $( \begin{gathered} 6 \\ - 2 \end{gathered} )$,

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

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

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

Extract:

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

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]

Extract:

The diagram shows four shapes A, B, C and D and a point P on a 1cm^2 grid.

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

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

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

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

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

Describe fully the single transformation that maps

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

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

Describe fully the single transformation that maps the shaded quadrilateral onto

i) quadrilateral $A$,

ii) quadrilateral $B$.

On the grid,

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

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

On the grid,

(i) reflect rectangle $A$ in the line $y=-1$ and label the shape $B$,

(ii) rotate shape $B$ anticlockwise by 90° about (1, 1) and label the shape $C$.

Describe a different transformation, which is not a rotation, which transforms shape $B$ to shape $C$.