Which transformation maps quadrilateral EFGH to quadrilateral QRSP?

The Transformation of Quadrilateral EFGH to Quadrilateral QRSP

Quadrilateral EFGH is a shape formed by connecting the points E, F, G, and H in order. It is important to note that each point is represented by a pair of x and y coordinates. Similarly, quadrilateral QRSP is another shape with points Q, R, S, and P.

In mathematics, transformations are functions that change the position of points in a plane. The four main types of transformations are dilation, reflection, rotation, and translation. We need to determine which transformation maps quadrilateral EFGH to quadrilateral QRSP.

The Answer: Rotation

Rotation is the transformation that turns a figure around a fixed point by a certain angle. In this case, the rotation of quadrilateral EFGH will result in quadrilateral QRSP. The center of rotation, the angle of rotation, and the direction of rotation are key factors in determining the final outcome.

By applying a specific rotation to quadrilateral EFGH, we can achieve the shape of quadrilateral QRSP. This transformation preserves the size and shape of the original figure while changing its orientation in the plane.

It is essential to understand the properties and effects of each transformation in order to accurately map one shape to another. Through careful application of rotation, quadrilateral EFGH can be transformed into quadrilateral QRSP seamlessly.