When figures have the same size and shape we say they are congruent. In this lesson I will focus on congruent triangles.
When trying to determine if two triangles are congruent, you need to make sure they have the same shape, and that the corresponding measurements and/or angles are the same.
30 o 90 o 60 o 7.5 m 13 m 15 m 7.5 m 13 m 15 m The corresponding parts, or parts of the triangle that correspond to one another, match. Therefore, these two triangles are congruent.
You do not need to know all the measurements and/or angles of two triangles to determine if they are congruent.
As long as you know two side lengths and an angle, all the side lengths, or even two angles and a side length, for each triangle, you can determine if two triangles are congruent.
Two triangles which only have the same corresponding angles are not congruent. Even if two triangles have the same corresponding angles, they can still have different side lengths.