Question

Choose the correct dilation of the below figure.

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

To obtain the dilated figure, each coordinates of the vertices should be multiplied with a constant scaling factor.

Let the scaling factor be 3.

For the triangle with vertices $G$, $H$ and $I$, let the vertices of dilated triangle be represented as $G^{/}$, $H^{/}$ and $I^{/}$,

Coordinate points of each vertices of the original triangle are

$G=(2,3)$
$H=(2,6)$
$I=(5,5)$

Multiplying the coordinate points of each vertices by the scaling factor, we get

$G^{/}=(2\times 3,3\times 3)=(6,9)$
$H^{/}=(2\times 3,6\times 3)=(6,18)$
$I^{/}=(5\times 3,5\times 3)=(15,15)$

$\therefore$ The dilated triangle is