Congruent Triangles

## Congruent Triangles

A congruent triangle means that it is the same size as another triangle. However, the congruent triangle may be rotated or reflected, and may not look the same.

A similar triangle is a triangle that has the same angles, but has different lengths of sides. Note that each side of a similar triangle is in the same ratio as the corresponding side on the other triangle.

A corresponding triangle may be found by checking conditions of congruence. These are:

All three sides are equal (side-side-side, or SSS) Two sides, and the included angle (between the two sides) are all equal (side-angle-side, or SAS) Two angles and a corresponding side - the same side on each triangle - are equal (angle-angle-side, or AAS) For a right-angled triangle, the hypotenuse and one other side are equal (right angle - hypotenuse - side, or RHS) ## Example 1

Are these two triangle congruent? Checking using SAS (side - angle - side)

5cm-34º-7cm is not the same as 5cm-34º-8cm