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Which of the following properties are used to prove that triangles are congruent?
asa sss aaa aas sas

Solution:

Congruent triangles are those triangles that coincide with each other by repositioning or flipping.

Two triangles are said to be congruent if they follow either of the following properties:

SSS: If all the three sides of the two triangles are equal.

An example with the figure of SSS property is given below:

SSS congruency
SAS: If two sides and the angle between them are equal.

An example with the figure of SAS property is given below:

SAS congruent triangles

ASA: When two angles and the side between them are equal.

An example with the figure of ASA property is given below:

ASA congruency

AAS: When two angles and one non-included side are equal. (Similar to ASA property)

Hence, SSS, SAS, ASA, AAS properties are used to prove that triangles are congruent.

Summary:

SSS, SAS, ASA, AAS properties are used to prove that triangles are congruent.

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