How can the coordinate plane help you determine the corresponding sides are congruent?

The coordinate plane can help determine if corresponding sides of geometric figures are congruent by using the distance formula, which calculates the length of a segment between two points. By plotting the vertices of the shapes on the coordinate plane, you can measure the lengths of corresponding sides. If the lengths are equal, the sides are congruent. Additionally, visual representation aids in identifying congruent sides more easily, especially in complex figures.