Question

The coordinates of the vertices of a quadrilateral are W (2, 4), X (2, -3), Y(-2,-2), and Z (-2, 6). Quadrilateral WXYZ is reflected across the y-axis to create quadrilateral W'X'Y'Z'.

What are the coordinates of the vertices of quadrilateral WXY'Z'"?
W= X= Y= Z=​

Answer 1

To find the coordinates of quadrilateral WXY'Z', we need to reflect the original coordinates across the y-axis. Since the y-axis is a vertical line, the x-coordinate of each point will change sign.

Given the original coordinates:

W (2, 4)

X (2, -3)

Y (-2, -2)

Z (-2, 6)

After reflecting across the y-axis, the coordinates become:

W' (-2, 4)

X' (-2, -3)

Y' (2, -2)

Z' (2, 6)

So, the coordinates of quadrilateral WXY'Z' are:

W' (-2, 4)

X' (-2, -3)

Y' (2, -2)

Z' (2, 6)