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State whether the triangles are congruent by SSS, SAS, ASA, or AAS. If none of

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State whether the triangles are congruent by SSS, SAS, ASA, or AAS. If none of the-example-1

1 Answer

2 votes

The congruence postulates are:

16) SSS Congruence Postulate.

17) SAS Congruence Postulate.

18) SSS Congruence Postulate.

19) None

20) AAS Congruence Postulate.

21) ASA Congruence Postulate.

22) None

23) SSS Congruence Postulate.

24) SAS Congruence Postulate.

25) AAS Congruence Postulate.

26) None

27) AAS Congruence Postulate.

How to identify the triangle congruency postulate?

16) We are given three congruent sides for both triangles and as such we can say that they are congruent by SSS Congruence Postulate.

17) We are given two congruent sides and the included angle and so the triangles are congruent by SAS Congruence Postulate.

18) We are given three congruent sides for both triangles and as such we can say that they are congruent by SSS Congruence Postulate.

19) They are not congruent because there are no corresponding congruent sides.

20) We are given two congruent angles and the non-included side and as such they are congruent by AAS Congruence Postulate.

21) We are given two congruent angles and the included side and as such they are congruent by ASA Congruence Postulate.

22) They are not congruent because there are no corresponding congruent sides.

23) We are given three congruent sides for both triangles and as such we can say that they are congruent by SSS Congruence Postulate.

24) We are given two congruent sides and the included angle and so the triangles are congruent by SAS Congruence Postulate.

25) We are given two congruent angles and the non-included side and as such they are congruent by AAS Congruence Postulate.

26) The triangles are not congruent.

27) We are given two congruent angles and the non-included side and as such they are congruent by AAS Congruence Postulate.

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