Triangle Congruence Theorems

Today we learned three theorems to use when finding congruent triangles.

Today’s Objective: Students will be able to determine whether two triangles are congruent and explain why.

Today’s TEKS: G.10(B) Justify and apply triangle congruence relationships.

Side Angle Side (SAS) – If two side lengths of the different triangles are equal and the angle between those sides is equal to the angle sandwiched on the other triangle, then those two triangles are congruent.

Angle Side Angle (ASA) – If two angles of the different triangles are equal to each other and the sides on each triangle between the angles are equal, then those two triangles are congruent.

Side Side Side (SSS) – If all three sides of one triangle are equivalent to all three corresponding sides of a different triangle, then those two triangles are congruent.

If the problem does not give us the measurement of the angle(s) that we need, we might have to use the angle sum theorem talked about in class earlier to find the angle's measurement.

Mr. Escalante also presented a few other congruence theorems, but told us that these 3 are the most important to remember.