Moving shapes by translation, reflection, rotation and enlargement, describing a transformation fully, finding images and objects, and combining transformations.
6 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
A video game character slides, flips, spins and zooms — four transformations. CSEC asks you to carry them out, to describe them fully, and to combine them.
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Translate, reflect, rotate or enlarge the triangle.
Copy these into your notebook in your own words — that is how they stick.
Vector (a, b): a right, b up. Congruent, same orientation.
Mirror line equation. (x,y) → (−x,y) in the y-axis; (x,−y) in the x-axis; (y,x) in y = x. Congruent, orientation reversed.
Centre, angle, direction. 90° anticlockwise: (−y, x); clockwise: (y, −x); 180°: (−x, −y). Congruent.
Centre and scale factor k. Image is similar; lengths × k, areas × k²; 0 < k < 1 gives a reduction.
Join corresponding points; the lines meet at the centre of enlargement.
Name it, then give vector / mirror line / centre + angle + direction / centre + scale factor.
Apply in order; label stages; order generally matters.
Translation, reflection, rotation: congruent. Enlargement: similar.
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Mathematics Arcade.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (18 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [9 marks]
Triangle ABC has vertices A(1, 1), B(3, 1) and C(1, 3).
(a) Write down the coordinates of the image of triangle ABC under a translation by the vector −41. [3]
(b) Write down the coordinates of the image of triangle ABC under reflection in the y-axis. [2]
(c) Triangle PQR has vertices P(2, 2), Q(6, 2) and R(2, 6). Describe fully the single transformation that maps triangle ABC onto triangle PQR. [3]
(d) The triangle ABC is reflected in the x-axis and then in the y-axis. Describe the single transformation equivalent to this combination. [1]
Question 2 [9 marks]
Triangle PQR has vertices P(2, 1), Q(4, 1) and R(2, 4). Its image under a transformation is triangle P′Q′R′ with P′(−1, 2), Q′(−1, 4) and R′(−4, 2).
(a) Describe fully the transformation that maps PQR onto P′Q′R′. [3]
(b) State TWO ways in which triangle PQR and triangle P′Q′R′ are the same. [2]
(c) Triangle PQR has an area of 3 cm². It is enlarged with scale factor 3. Find the area of the image. [2]
(d) Find the image of P(2, 1) under enlargement with centre (1, 1) and scale factor 2. [2]
Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.