CAIE IGCSE Mathematics Core C7.1.4 Translation of a shape by a vector x y J L KK N P OO

Practise translating shapes and points by column vectors, using horizontal and vertical components to locate image vertices.

Exam points

apply a column vector to every vertex to draw the translated image on a grid
write the translation vector that maps one shape to another, with signs in the correct order
explain errors where a vector component has the wrong sign or direction

[Maximum number: 1]

The diagram shows a point P and three triangles, A, B and C, on a $1 \mathrm{~cm}^{2}$ grid.

Work out the coordinates of point P after a translation by the vector $\binom{-20}{12}$ .
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