Quadrilateral ABCD has vertices at A(0,0), B(0,3), C(5,3), and D(5,0). Find the vertices of the quadrilateral after a dilation w

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Quadrilateral ABCD has vertices at A(0,0), B(0,3), C(5,3), and D(5,0). Find the vertices of the quadrilateral after a dilation w

ith scale factor 2.5.
PLS ANSWER ASAP

Mathematics

1 answer:

kkurt [141] · Answer 1 · 2023-06-30T19:36:43+03:00

The vertices of the quadrilateral after a dilation with scale factor 2.5 are A' = (0, 0), B' = (0,7.5), C' = (12.5, 7.5) and D' = (12.5, 0)

<h3>How to determine the vertices of the quadrilateral after a dilation with scale factor 2.5?</h3>

The coordinates of the quadrilateral ABCD are given as:

A(0,0), B(0,3), C(5,3), and D(5,0)

When dilated by a scale factor of 2.5, we have the following equation

A' = A * 2.5

So, we have:

A' = (0,0) * 2.5

A' = (0, 0)

B' = (0,3) * 2.5

B' = (0, 7.5)

C' = (5,3) * 2.5

C' = (12.5, 7.5)

D' = (5,0) * 2.5

D' = (12.5, 0)

Hence, the vertices of the quadrilateral after a dilation with scale factor 2.5 are A' = (0, 0), B' = (0,7.5), C' = (12.5, 7.5) and D' = (12.5, 0)