Are the triangles congruent? If so, write a congruence statement and reason why
Yes, ABC is congruent with MLN by SSS congruence
No
Yes ABC is congruent With LNM by SSS congruence
Yes ABC is congruent with LMN by SSS congruence therom
The triangles are congruent. The congruence statements and reasons are as follows:
1) ABC is congruent to MLN by SSS congruence. (Reason: The triangles have corresponding sides that are congruent based on the SSS congruence theorem.)
2) ABC is congruent to LNM by SSS congruence. (Reason: The triangles have corresponding sides that are congruent based on the SSS congruence theorem.)
3) ABC is congruent to LMN by SSS congruence theorem. (Reason: The triangles have corresponding sides that are congruent based on the SSS congruence theorem.)
It seems like there are multiple possible congruence statements given the information provided.
If ABC is congruent to MLN, the congruence statement could be:
∆ABC ≅ ∆MLN by SSS congruence
The reason for the congruence can be stated as: They have corresponding sides that are congruent due to the Side-Side-Side (SSS) congruence theorem.
On the other hand, if ABC is congruent to LNM, the congruence statement would be:
∆ABC ≅ ∆LNM by SSS congruence
Again, the reason for the congruence is that the corresponding sides are congruent based on the Side-Side-Side (SSS) congruence theorem.
Lastly, if ABC is congruent to LMN, the congruence statement would be:
∆ABC ≅ ∆LMN by SSS congruence theorem
Similarly, the reason would be that the corresponding sides are congruent according to the Side-Side-Side (SSS) congruence theorem.
To determine if the triangles are congruent, we need to check if their corresponding sides and angles are equal. In this case, the triangles in question are ABC and MLN, LNM, or LMN.
To use the SSS (Side-Side-Side) congruence criterion, we need to check if all corresponding sides of the triangles are equal. If they are, we can then write a congruence statement.
The provided information states that ABC is congruent to MLN, LNM, or LMN by SSS congruence. This means that all corresponding sides of the triangles are equal in length.
However, this information contradicts itself by including contradictory statements. The correct congruence statement cannot be determined from the given information.