Which of the following is not a postulate used to prove the congruence of two triangles?
a. ASA
b. SSA
c. SAS
d. SSS
I think its C?
no, it is b
SSA often results in 2 different triangles with the same properties, thus no congruency.
thank you
Yes, you are correct. The postulate that is not used to prove the congruence of two triangles is b. SSA (Side-Side-Angle). Even though the Side-Side-Angle condition may suggest the congruence of two triangles, it is not a valid postulate for proving congruence.
To determine which of the following is not a postulate used to prove the congruence of two triangles, let's go through each option:
a. ASA - ASA stands for "Angle-Side-Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
b. SSA - SSA stands for "Side-Side-Angle." However, SSA is not a postulate that guarantees congruence between two triangles. Two triangles that have two pairs of corresponding sides that are proportional and an angle that is congruent might not necessarily be congruent.
c. SAS - SAS stands for "Side-Angle-Side." This 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.
d. SSS - SSS stands for "Side-Side-Side." This postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
After going through the options, we can conclude that b. SSA is not a postulate used to prove the congruence of two triangles.