Test: 3 Angle-Side-Angle (ASA) Postulate: If two angles and the
included side of one triangle are congruent to the corresponding two angles
and the included side of another triangle, the triangles are congruent.
Test 4: Angle-Angle-Side (AAS) Postulate: If two angles and one non-
included side of one triangle are congruent to the corresponding two angles
and one non-included side of another triangle, then the triangles are con-
gruent. (Note: in this case, the side does not need to be an included side
between the two angles, like with the ASA postulate.)
Warning!Although it is tempting to think that Angle-Angle-Angle
would prove congruency, two triangles can have three congruent angles, but
be completely different sizes. Therefore, Angle-Angle-Angle cannotbe used
to prove congruency, although it is a postulate used to prove similarity,
which is one of the topics we will cover in the next chapter.
BA CS QRBA CS QR“included” side501 Geometry Questions