Question

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?.

Answer 1

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0  12 12  0]

[ 0  0  12  6]

We have to determine

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?

According to the question

The vertices of the triangle are

The scale factor is 3.

The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.

Therefore,

The vertices of the rectangle after scaled by the factor of 3 are,

$\rm (0, 0), (4, 0), (4, 4) \ and\ (0, 2)\\\\ (0\times 3, 0\times 3), (4 \times 3, 0 \times 3), (4 \times 3, 4 \times 3) \ and \ (0 \times 3, 2 \times 3) \\\\ (0, \ 0), (12, \ 0), (12, \ 12), \ (0,\ 6 )$

The vertices of the rectangle after it are scaled by a factor of 3.

Therefore,

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0  12 12  0]

[ 0  0  12  6]

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