Transformations of Shapes

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Edexcel

AQA

Higher June 2025 Paper 1 Q9

EdexcelCurrent spec4 marksTransformations of Shapes

9

Grid from -7 to 7 on both axes showing shape A with vertices (1, 2), (2, 5), (5, 5), (2, 1) and shape B with vertices (-6, 6), (-6, 3), (-3, 2), (-2, 3)
(a) Describe fully the single transformation that maps shape A onto shape B. (2)
(b) Enlarge the triangle by scale factor \(\dfrac{1}{2}\) centre \((-1, -3)\)
Grid with x from -6 to 8 and y from -6 to 8 showing a triangle with vertices (3, 3), (3, 7) and (7, 3)
(2)

Foundation November 2024 Paper 2 Q18

EdexcelCurrent spec2 marksTransformations of Shapes

18

Grid with x from -2 to 7 and y from -2 to 7. Triangle A has vertices (2, 3), (3, 3) and (3, 1). Triangle B has vertices (4, 6), (6, 6) and (6, 2)

Describe fully the single transformation that maps triangle A onto triangle B. (2)

Higher November 2024 Paper 2 Q11

EdexcelCurrent spec2 marksTransformations of Shapes

11

Grid with x from -6 to 7 and y from -4 to 8; triangle A with vertices (2, 7), (5, 7) and (5, 1); triangle B with vertices (0, 4), (2, 4) and (2, 0)

Describe fully the single transformation that maps triangle A onto triangle B. (2)

Foundation November 2024 Paper 1 Q10

EdexcelCurrent spec3 marksTransformations of Shapes

10

Coordinate grid, x from -5 to 5 and y from -5 to 5, with a shaded quadrilateral with vertices (1, 2), (1, 3), (3, 4) and (4, 2), and a dashed mirror line at y = 1
(a) On the grid, reflect the shaded shape in the mirror line. (2)
(b) Write down the equation of the mirror line. (1)

Foundation November 2024 Paper 2 Q16

AQACurrent spec2 marksTransformations of Shapes

16 In the grid below, shade one quarter of the squares

so that the grid has exactly two lines of symmetry.

Shade complete squares only. [2 marks]

Empty 4 by 4 grid of squares

Foundation November 2024 Paper 1 Q14

AQACurrent spec3 marksSimilar ShapesTransformations of Shapes

14

(a) On the grid, draw a shape congruent to triangle A. [1 mark]
Square grid with triangle A: vertical side 3 squares long, apex 3 squares to the right
(b) On the grid, enlarge shape B by scale factor \(\dfrac{1}{3}\) [2 marks]
Square grid with shape B: base 3 squares, left side 6 squares, right side 3 squares, joined by a sloping edge

Foundation November 2024 Paper 3 Q13

AQACurrent spec3 marksTransformations of Shapes

13

(a) Here is a pattern of squares on a grid.
A 7 by 7 grid. Shaded pattern: a row of 5 squares, below it a row of 3 squares in the middle, below that a row of 5 squares

Draw the two lines of symmetry on the pattern. [2 marks]

(b) Here is the pattern again.
The same pattern on a 7 by 7 grid

Shade four more squares so that the pattern has rotational symmetry of order 4 [1 mark]

Foundation June 2024 Paper 1 Q27

AQACurrent spec3 marksTransformations of Shapes

27

Grid with x from 0 to 8 and y from −7 to 6. Shape A has vertices (1, 1), (1, 5), (5, 5), (7, 3), (5, 1). Shape B has vertices (1, −3), (1, −1), (3, −1), (4, −2), (3, −3)

Describe fully the single transformation that maps shape A to shape B. [3 marks]

Foundation June 2024 Paper 3 Q11

AQACurrent spec2 marksTransformations of Shapes

11

Coordinate grid with triangle ABC. A is (-2, 5), B is directly below A on the same horizontal line as C, C is (4, -1). A dashed vertical line x = 6
(a) Work out the coordinates of \(B\). [1 mark]
(b) Point \(C\) is reflected in the line \(\;x = 6\;\) to point \(D\).

Work out the coordinates of \(D\). [1 mark]

Foundation June 2024 Paper 2 Q3

AQACurrent spec3 marksAngles (Including Parallel Lines)Transformations of Shapes

3 Here is a quadrilateral.

Quadrilateral with angles a (top left), b (top right, a right angle), c (right side, obtuse) and d (bottom)
(a) Write down the letter of the obtuse angle. [1 mark]
(b) Write down the letter of an acute angle. [1 mark]
(c) How many lines of symmetry does the shape have? [1 mark]

Foundation November 2023 Paper 2 Q19

AQACurrent spec3 marksTransformations of Shapes

19 Describe fully the single transformation that maps shape A to shape B. [3 marks]

Coordinate grid from −5 to 5 on both axes. Shape A is a hexagon with vertices (−5, −2), (−2, −2), (−2, −3), (−3, −4), (−4, −4), (−5, −3). Shape B has vertices (2, 2), (5, 2), (5, 3), (4, 4), (3, 4), (2, 3)

Foundation November 2023 Paper 1 Q16

AQACurrent spec2 marksTransformations of Shapes

16 Here is a triangle on a grid.

Grid with x from 0 to 11 and y from 0 to 7. Triangle with vertices (2, 3), (5, 3) and (5, 7)

The triangle is reflected in a vertical line.

Two of the vertices of the reflected triangle are at (7, 3) and (7, 7)

(a) What are the coordinates of the other vertex of the reflected triangle? [1 mark]
(b) What is the equation of the line of reflection? [1 mark]

Higher June 2017 Paper 2 Q26

AQACurrent spec2 marksTransformations of Shapes

26

(a) A sketch of a quadrilateral ABCD is shown.
Sketch of quadrilateral ABCD with A (2, 1), B (5, 1), C (6, 4) and D (1, 3)

Not drawn accurately

ABCD is enlarged, centre B, scale factor \(\dfrac{1}{3}\)

Circle the vertex that is invariant. [1 mark]

  • A
  • B
  • C
  • D
(b) A sketch of a quadrilateral PQRS is shown.
Sketch of quadrilateral PQRS with P (1, 1), Q (4, 1), R (4, 2) and S (1, 4)

Not drawn accurately

PQRS is reflected in the line \(\quad y = x\)

Circle the vertex that is invariant. [1 mark]

  • P
  • Q
  • R
  • S

Higher June 2017 Paper 1 Q21

AQACurrent spec4 marksTransformations of Shapes

21

(a) The diagram shows rectangles A and B.
Grid with x and y from -4 to 4. Rectangle A has vertices (-4, 1), (-2, 1), (-2, 4), (-4, 4). Rectangle B has vertices (2, 1), (4, 1), (4, 4), (2, 4)

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.

  • Yes
  • No

Give a reason for your answer. [1 mark]

(b) This diagram shows triangles CDE and PQR.
Grid with x from -10 to 4 and y from -4 to 6. Triangle CDE has vertices C(2, 1), D(4, 1), E(3, -2). Triangle PQR has vertices P(-3, 6), Q(-3, 2), R(-9, 4)

CDE is mapped to PQR by combining two single transformations.

The first is a rotation of \(90^\circ\) anticlockwise about E.

Describe fully the second transformation. [3 marks]