Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

Four shapes A, B, C and D, together with point P, are drawn on a $1\,\text{cm}^2$ grid.
(a(i))[1]

Find the perimeter for shape A.

(a(ii))[1]

Find the area for shape A.

(b(i))[1]

Write down the co-ordinates for point P.

(b(ii)(a))[1]

Find the co-ordinates of the image of point P when P is reflected in the $y$-axis.

(b(ii)(b))[2]

Find the co-ordinates of the image of point P when P is reflected in the line $y = 6$.

(b(iii))[2]

Find the vector that carries point P to the point $(49, -12)$.

(c(i))[3]

Describe fully the single transformation that takes shape A onto shape B.

(c(ii))[3]

Describe fully the single transformation that takes shape C onto shape D.

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