Combine transformations and find invariant points

GCSE · Mathematics · WJEC · G8 — Changes and invariance under rotation, reflection, translation, enlargement combinations

Question

WJEC Unit 2 (Calculator) — Higher

Triangle P has vertices (2, 3), (5, 3), (5, 7). Triangle P is reflected in the line y = x to give triangle Q. Triangle Q is then translated by the vector (4, −2) to give triangle R.

(a) Find the coordinates of the vertices of triangle R. (3 marks) (b) State whether any point of triangle P is invariant under the combined transformation, justifying your answer. (2 marks)

5 marks · take your time before peeking.

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