Question

7. A quadrilateral has vertices W(-3,5), X(8,6),

Y(3,-6), and Z(-4,1). The preimage is mapped
onto quadrilateral W'X'Y'Z' through a dilation by
scale factor and then a reflection over the line
y = x. What are the coordinates of W'?

Answer 1

W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).

Given the vertices W(-3,5), X(8,6), Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).