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

Mathematics

1 answer:

stellarik [79]2 years ago

8 0

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]

<h2>We have to determine</h2>

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

<h3>According to the question</h3>

The vertices of the triangle are

The scale factor is 3.

<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>

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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<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

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