Question

State the Postulate or Theorem that can be used to say that the triangles are congruent:

Answer 1

The congruence theorems or postulates that proves the following set of triangles are congruent are:

a. SAS congruence postulate

b. SSS congruence postulate

c. SAS congruence postulate

d. SAS congruence postulate

Triangle Congruence Postulates or Theorems

• Two triangles having two pairs of congruent angles and a pair of included sides are congruent by the SAS congruence postulate.

• Two triangles having three pairs of congruent sides are congruent by the SSS congruence postulate.

• Two triangles having two pairs of congruent sides and a pair of included angles are congruent by the SAS congruence postulate.

• Two triangles having two pairs of congruent angles and a non-included side are congruent by the SAS congruence postulate.

Therefore, the congruence theorems or postulates that proves the following set of triangles are congruent are:

a. SAS congruence postulate

b. SSS congruence postulate

c. SAS congruence postulate

d. SAS congruence postulate

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