Join / Login

Defining Congruence



Corresponding Sides

If the relative position of two sides is same in two figures, then they are called Corresponding Sides.

As in the given figure we have In quadrilaterals and ,
  corresponds with


Corresponding Angles

When two lines are crossed by another line

(which is called the Transversal), the angles in matching corners are

called corresponding angles.



If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent. When two things are said to be congruent, it means that all of their measurements are identical.


Example of congruent shapes

Consider the given figure we can see that one triangle points up, while the other points down. However, if we were to measure them, we would discover that the corresponding sides of both triangles are exactly the same. In fact, the second triangle is the same as the first; it's just been rotated. So, these shapes are