Home / CIE iGCSE Maths C7.1 Transformations Exam Style Practice Questions- Paper 3

CIE iGCSE Maths C7.1 Transformations Exam Style Practice Questions- Paper 3

CIE iGCSE Maths C7.1 Transformations Exam Style Practice Questions- Paper 3

IGCSE Mathematics(0580) Practice Questions Paper 3 - All Chapters
Question

(a)

Grid with shapes

(i) On the grid, draw the image of

(a) shape A after an enlargement with scale factor ½, centre (3,-5)

(b) shape B after a reflection in the line y = -3.

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

(b)

Triangles on grid

For the triangles shown on the grid, write down the letter of each triangle that is

(i) congruent to triangle X,

(ii) similar to triangle X.

▶️ Answer/Explanation

Answer:

(a)(i)(a) Correct enlargement (3, –3), (4.5, –6), (3, –7), (1.5, –6)

(a)(i)(b) Correct reflection (–6, –2), (–6, 0), (–5, –1), (–4, 2)

(a)(ii) Rotation [Centre] (–4, 4) 90° clockwise

(b)(i) J

(b)(ii) F, H, [J]

Detailed Solution:

  1. Enlargement: Halve the distance of each vertex from (3,-5) while keeping directions same
  2. Reflection: Flip shape B over y=-3 line, keeping perpendicular distances equal
  3. Transformation: C rotates quarter-turn right around (-4,4) to match D’s position
  4. Congruent: J has identical size and shape as X (perfect match when moved)
  5. Similar: F and H have same angles as X but different sizes (uniformly scaled)
Question

(a) On the grid, draw the image of

(i) triangle A after a rotation of 90° clockwise about the origin,
(ii) triangle A after a reflection in the line x = 5,
(iii) triangle A after an enlargement, scale factor 2, centre (7, 7).

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

▶️ Answer/Explanation
Solution

9(a)(i): Triangle at (2, -3), (5, -3), (5, -2)

Rotate each vertex 90° clockwise about (0,0). Original points move from (x,y) to (y,-x).

9(a)(ii): Triangle at (7, 2), (7, 5), (8, 5)

Reflect each point across the vertical line x=5. Original points (x,y) become (10-x,y).

9(a)(iii): Triangle at (-3, 3), (-1, 3), (-1, -3)

Double the distance of each point from center (7,7). Original points (x,y) become (2x-7,2y-7).

9(b): Translation by vector \(\begin{pmatrix} -7 \\ 2 \end{pmatrix}\)

Each point moves 7 units left and 2 units up. This matches all corresponding vertices.

More IGCSE Mathematics(0580) Practice Questions Paper 3 ........
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