Question

Mark the postulates (or theorem) that do not prove congruency between two triangles. (There are two)

a) ASA (Angle-Side-Angle)
b) SSS (Side-Side-Side)
c) SAS (Side-Angle-Side)
d) AAA (Angle-Angle-Angle)

Answer 1

The postulates that do not prove congruency between two triangles are AAA (Angle-Angle-Angle) and SSA (Side-Side-Angle).

Step-by-step explanation:

To prove congruency between two triangles, there are a few postulates or theorems that can be used. However, there are two postulates that do not prove congruency between two triangles: AAA (Angle-Angle-Angle) and SSA (Side-Side-Angle).

The AAA postulate states that if the three angles of one triangle are congruent to the three angles of another triangle, then the two triangles are congruent. However, this postulate does not guarantee congruency since two triangles can have the same angles but different side lengths.

The SSA postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. However, this postulate does not guarantee congruency since two triangles can have the same side lengths and included angles but different third side lengths.