Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram displays two triangles $A$ and $B$ and point $P$ on a $1\text{ cm}^2$ grid.
(a)[1]

State the mathematical name for triangle $A$.

(b)[2]

Describe fully the one transformation that carries triangle $A$ onto triangle $B$.

(c)[2]

Rotate triangle $A$ through $90^\circ$ clockwise about $(0, 0)$.

(d(i))[1]

Find the area of triangle $A$.

(d(ii))[2]

Enlarge triangle $A$ with scale factor 2 and centre $P$.

(d(iii))[2]

Fill in the blank. The area of the enlarged triangle is [BLANK] times the area of triangle $A$.

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