Coordinate Dilation: Exploring the New World of Geometry

What happens when a quadrilateral is dilated with a center at (0, 0)?

How does the dilation factor affect the coordinates of the points in the original quadrilateral?

Answer:

When a quadrilateral is dilated with a center at (0, 0), the coordinates of each point in the original quadrilateral are transformed based on the dilation factor.

Coordinate dilation is a fascinating concept in geometry that involves transforming the coordinates of points in a figure based on the dilation factor and the center of dilation. When a quadrilateral is dilated with a center at (0, 0), each point's coordinates are multiplied by the dilation factor to determine their new positions.

The dilation factor determines how much each coordinate is expanded or shrunk in relation to the center of dilation. If the dilation factor is greater than 1, the figure will be enlarged, while a dilation factor between 0 and 1 will shrink the figure.

By applying the dilation factor to each point's original coordinates, we can visualize the transformation of the quadrilateral. Understanding how coordinate dilation works can help us explore the world of geometry in a whole new light.