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Question

Choose the correct dilation of the below figure.


A
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C
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Solution

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/=(2×3,3×3)=(6,9)
H/=(2×3,6×3)=(6,18)
I/=(5×3,5×3)=(15,15)

The dilated triangle is


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