Quadrilateral WXYZ has coordinates W(−3, 2), X(1, 3), Y(2, −2), and Z(−1, −2). What are the coordinates of the vertices of D2(WXYZ)?

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28-07-2022
Mathematics

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Quadrilateral WXYZ has coordinates W(−3, 2), X(1, 3), Y(2, −2), and Z(−1, −2). What are the coordinates of the vertices of D2(WXYZ)?

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barackodam barackodam · Answer 1 · 2022-07-29T19:43:23+02:00

the coordinates of the vertices of D2(WXYZ) are;

W' ( 2, 3)

X' ( 3, -1)

Y' ( -2, -2)

Z'(−1, −2)

How to determine the coordinates

It is important to note that the general formula for finding the transformation of the coordinates is;

M ( h, k) = M' ( k, -h)

Where

h is the first coordinates
k is the second coordinates

For the quadrilateral WXYZ we have to find the transformed coordinates

For W, we have

W(−3, 2)

h = -3

k = 2

Substitute the values

W' ( 2, 3)

For X,

X(1, 3)

h = 1

k = 3

Substitute the values

X' ( 3, -1)

For Y

Y(2, −2)

h = 2

k = -2

Substitute the values

Y' ( -2, -2)

For Z

Z(−1, −2)

h = -1

k = -2

Z'(−1, −2)

Thus, the coordinates of the vertices of D2(WXYZ) are;

W' ( 2, 3)

X' ( 3, -1)

Y' ( -2, -2)

Z'(−1, −2)

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