Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The grid uses $1\text{ cm}^2$ squares and displays four polygons. One polygon is shaded on the grid. The polygons are marked A, B and C, and the coordinate axes carry the labels $x$ and $y$.
(a)[1]

State the mathematical name of the shaded polygon.

(b)[2]

Determine the area of the shaded polygon.

(c(i))[2]

State fully the single transformation that takes the shaded polygon to polygon A.

(c(ii))[3]

State fully the single transformation that takes the shaded polygon to polygon B.

(c(iii))[3]

State fully the single transformation that takes the shaded polygon to polygon C.

(d)[2]

On the grid, draw the image of the shaded polygon after reflecting it in the line $y = 0$.

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