Question

6 quadrilateral pqrs is transformed in the coordinate plane to form the image pqrs. label the vertices of pqrs and tell what single transformation was used.

Explanation:

Step1: Observe the transformation

By looking at the graph, we can see that each point of quadrilateral PQRS is reflected across the x - axis to get the corresponding point of P'Q'R'S'. For a point (x,y) reflected across the x - axis, the transformation rule is (x,y)→(x, - y).

Step2: Label the vertices

Assume P(x1,y1), Q(x2,y2), R(x3,y3), S(x4,y4). Then P'(x1, - y1), Q'(x2, - y2), R'(x3, - y3), S'(x4, - y4). For example, if P is (4,5), then P' is (4, - 5).

Answer:

The single transformation used is reflection across the x - axis.