Answer :

Final answer:

In a congruence statement KLM =~ RTS, the corresponding angles and sides are represented in the same order. One can use Angle-Side-Angle (ASA), Side-Angle-Side (SAS), or Side-Side-Side (SSS) postulates to prove this congruence.

Explanation:

In a congruence statement like KLM =~ RTS, the corresponding angles and sides are represented in the same order. Thus, K corresponds to R, L to T, and M to S. This means that ∠K is congruent to ∠R, ∠L is congruent to ∠T, and ∠M is congruent to ∠S. Similarly, KL (the side between ∠K and ∠L) is congruent to RT (the side between ∠R and ∠T), LM is congruent to TS, and KM is congruent to RS. Therefore, you can use the Angle-Side-Angle (ASA), Side-Angle-Side (SAS), or Side-Side-Side (SSS) postulates to prove this congruence, as long as the given information matches one of them.

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