#### Congruent means same. If two triangles are congruent not only are the length of their sides the same, but all their angles are the same as well. Triangles will often be transformed by rotation (turning), reflection (flipping), and translation (sliding). We can prove triangles are congruent if we can find the measure of their sides and angles. We often use markings or ticks on triangles to demonstrate the congruency between sides.

What are congruent triangles and what can you learn from them?
Geometry is one of the most fun parts of math. Even though it looks complicated, there are many definitions that are fun to learn and fun to use when solving problems. Do you know what triangle congruency is? Let's jump right in!
Before anything, let's first recall what congruency is. When two objects are exactly the same, their sizes, lengths, shapes, angles, and everything else are the same; it is known as congruency. Now, what is geometric congruency?
Geometric congruency is referred to as objects being congruent, if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. For example:
Two-line segments are congruent if they have the same length.
Two angles are congruent if they have the same measure.
Two circles are congruent if they have the same diameter. These worksheets explains how to recognize congruent triangles. Students should already be familiar with the different types of congruencies for triangles.