It means that if two triangles have two sides with the lengths of the corresponding sides that are equal (congruent) and the angles between between the two sides congruent, then the triangles are congruent (i.e., the three corresponding lengths of sides and three corresponding angles are all congruent).
For example, if you know that triangle one has sides of length 1 and 2 and the angle between the two sides is 60 degrees and that triangle two has sides of length 1 and 2 and the angle between the two sides is 60 degrees, this theorem says that the triangles are congruent, so the length of third side of both triangles is the same and the measure of the other two angles in triangle one is the ame as the measure of the other two angles in triangle two.
SSS-side, side, side SAS-side, angle, side ASA-angle, side, angle SAA-side, angle, angle
LUE
(1) third angle, (2) included
The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.
Side Side Side Side Angle Side Angle Side Side Angle Side Angle Side Side Angle Angle Angle Side With Angle congruency and Side congruency in that order
Angle side angle congruence postulate. The side has to be in the middle of the two angles
side- angle- side
SSS-side, side, side SAS-side, angle, side ASA-angle, side, angle SAA-side, angle, angle
Its the Side, Angle, Side of a congruent postulate.
no sss and sas do
LUE
It is no more nor less important than any other theorem for congruence.
angle- side angle
angle- side angle
The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
(1) third angle, (2) included
There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA