AQA GCSE Maths
Topic questions Geometry and measures Transformations
41 questions · 109 marks · about 2 hours
Write down the translation vector that maps shape A to shape B.
Describe fully a rotation that maps A to B.
Shape A and shape B are shown on the grid.
Describe the single transformation that maps shape A to shape B.
A and B are triangles.
For each statement, tick the correct box to describe A and B.
On the grid, draw a shape congruent to triangle A.
On the grid, enlarge shape B by scale factor 
Describe fully the single transformation that maps shape A to shape B.
Describe fully the single transformation that maps shape A to shape B.
Work out the coordinates of B.
Point C is reflected in the line x = 6 to point D.
Work out the coordinates of D.
Quadrilateral ABCD is reflected in edge BC.
How many of the vertices are invariant? Circle your answer.
1 2 0 4
Here is a triangle on a grid.
The triangle is reflected in a vertical line. Two of the vertices of the reflected triangle are at (7, 3) and (7, 7)
What are the coordinates of the other vertex of the reflected triangle?
What is the equation of the line of reflection?
P and Q are points. P (– 3, – 2) is mapped to Q by a rotation about (1, 0) through 90° clockwise. Q is mapped back to P by a single transformation.
Complete these two single transformations that each map Q back to P.
Rotation about (1, 0)
Point A (7, 4) and the line y = x are shown on the grid.
B and C are points on the grid, each having positive integer coordinates. BAC is a right-angled triangle. When BAC is reflected in the line y = x side BC is invariant.
Work out one possible set of coordinates for B and C.
Also involves Similarity, lengths, areas and volumes · Congruence
A rectangle is drawn on a square grid.
On the grid, draw a congruent rectangle.
Here is the rectangle on a different square grid.
On this grid, draw a similar rectangle which is not congruent.
Describe fully the single transformation that maps shape A to shape B.
Also involves Scale factors, scale diagrams and maps
Square A is enlarged to square B.
Write down the scale factor of the enlargement as a fraction.
Here are some shapes. Each shape has an area of six square centimetres.
Which has the bigger perimeter, shape A or shape B ? You must show the lengths of both perimeters.
Which shape is congruent to shape A ?
Which two shapes fit together to make a rectangle?
On this grid draw a reflection of shape C. Show your mirror line.
Shape A and shape B are shown on the grid.
Describe the single transformation that maps shape A to shape B.
Triangle ABC is drawn on a grid.
ABC is transformed to A ' B ' C ' by a reflection in the line x = 1 A ' B ' C ' is transformed to A '' B '' C '' by a rotation 90 ° anticlockwise about (1, – 4) Which one point on ABC is invariant under the combined transformation? You must show the result of each transformation on the grid.
On the grid, shape A is shown. One side of shape B is also shown.
Complete shape B so that it is congruent to shape A.
On this grid, shape C is shown. One side of shape D is also shown.
Complete shape D so that it is an enlargement of shape C with scale factor 2
Triangles ABC and DEF are shown on a grid.
Describe a single transformation that shows the triangles are congruent.
Shape A is enlarged to shape B.
Circle the scale factor of the enlargement.
Write down the coordinates of the centre of enlargement.
Also involves Coordinates
The diagram shows an octagon.
x = 1 and y = 5 are lines of symmetry. Work out the coordinates of point Q.
Also involves Coordinates
The diagram shows an octagon.
x = 1 and y = 5 are lines of symmetry. Work out the coordinates of point Q.
Here is triangle ABC on a grid.
Describe a single transformation of the triangle so that point B is invariant point A moves to (1, 1) point C moves to (1, – 1)
Describe fully the single transformation that maps triangle ABC to triangle ADE.
Describe fully the single transformation that maps triangle ABC to triangle ADE.
Here are shapes P, Q and R.
P is mapped to Q by a single transformation. Circle the type of transformation.
rotation reflection translation enlargement
P is mapped to R by a single transformation. Circle the type of transformation.
rotation reflection translation enlargement
Quadrilateral ABCD is shown.
Work out the coordinates of C when ABCD is rotated 90 ° clockwise about O then
Triangle PQR is shown.
When PQR is reflected in a line, P and R are invariant points. Circle the equation of the line.
y = x + 6 y = – x y = 2 x = – 4
Shape A and shape B are shown on the grid.
Describe the single transformation that maps shape A to shape B.
On the grid, draw an enlargement of the triangle with scale factor 
Also involves Coordinates
ABCD is a square. A is (–2, 1) B is (0, –1) C is (2, 1) D is (0, 3)
A single transformation of ABCD is such that B is mapped to D D is mapped to B A and C are invariant points. Describe fully the transformation.
A different single transformation of ABCD is such that B is mapped to D D is mapped to B the only invariant point is (0, 1) Describe fully the transformation.
Reflect shape A in the x-axis.
Describe fully the single transformation that maps shape A to shape B.
ABCD is a quadrilateral.
The quadrilateral is reflected in the line x = 4 Which vertices are invariant? Circle your answer.
A and D C and D B and C B and D
Which shape is similar to shape X?
Circle the correct letter.
Reflect the triangle in the line x = 2
Rotate the kite 90° anticlockwise about (0, 0)
Enlarge triangle ABC by scale factor –2, centre (4, 1)
Describe fully the single transformation that maps triangle A to triangle B.
Describe fully the single transformation that maps triangle A to triangle B.
The diagram shows rectangles A and B.
Rectangle A can be mapped to rectangle B by a single transformation.
Javed says, “The only single transformation is a reflection in the y-axis because the rectangles are on opposite sides of the y-axis.”
Is he correct? Tick a box.
Give a reason for your answer.
This diagram shows triangles CDE and PQR.
CDE is mapped to PQR by combining two single transformations. The first is a rotation of 90º anticlockwise about E.
Describe fully the second transformation.
A sketch of a quadrilateral ABCD is shown.
ABCD is enlarged, centre B, scale factor 
Circle the vertex that is invariant. A B C D
A sketch of a quadrilateral PQRS is shown.
PQRS is reflected in the line y = x Circle the vertex that is invariant. P Q R S
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
Mum 💖
did you do your maths homework sweetie?? 🥰
yes I solved for x
proud of you!!!
📱 Screen time this week · TikTok6h 7m
Maths starter pack