An architect in Port of Spain, Trinidad is designing a building with symmetrical features. She reflects a design element in the line y = x. Which transformation matrix should she use?

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Question

An architect in Port of Spain, Trinidad is designing a building with symmetrical features. She reflects a design element in the line y = x. Which transformation matrix should she use?

Accepted Answer

[[0, 1], [1, 0]] — Award 1 mark for correct identification. This matrix reflects points in the line y = x by swapping x and y coordinates. Option B is incorrect — this is the identity matrix (no transformation). Option C represents rotation of 180° about the origin. Option D is incorrect — this represents a shear.

Answer

[[0, 1], [1, 0]]

Answer

[[1, 0], [0, 1]]

Answer

[[1, 1], [0, 1]]

Answer

[[-1, 0], [0, -1]]

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