Transformation by shear + invariant line, iGCSE, GCSE

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MathsForYouUK

MathsForYouUK

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Triangle PQR has been transformed by shear such that the point Q, (2,3), is now Q’, (11,3). The x axis is the invariant line.
(a) What is the shear factor?
(b) Complete the image of triangle PQR after this transformation. Confirm your result using matrices.

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