Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram contains three quadrilaterals drawn on a 1 cm$^2$ grid. Quadrilateral A is placed to the left of the y-axis, quadrilateral B is placed to the right of the y-axis and above the x-axis, and quadrilateral C is placed below the x-axis. The three quadrilaterals are labelled A, B and C respectively.
(a)[1]

Write down the mathematical name of quadrilateral $A$.

(b)[1]

Determine the area of quadrilateral $A$.

(c(i))[3]

Describe fully the single transformation that takes quadrilateral $A$ to quadrilateral $B$.

(c(ii))[2]

Describe fully the single transformation that takes quadrilateral $A$ to quadrilateral $C$.

(d(i))[2]

On the grid, draw the image of quadrilateral $C$ after rotating it $90^{\circ}$ anticlockwise about the origin.

(d(ii))[2]

On the grid, draw the image of quadrilateral $C$ after reflecting it in the line $x = 1$.

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