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What additional information do you need to know in order to prove the triangles congruent using SSS?

(1 point)
Responses

QR = EF
QR = EF

<Q = <E

<P = <D

PR = DF
PR = DF

1 answer

To prove triangles congruent using the Side-Side-Side (SSS) postulate, you need to establish that all three corresponding sides of the two triangles are equal in length.

In your options, the relevant information for SSS would be the lengths of the sides that correspond to each triangle. Therefore, to prove that the triangles are congruent using SSS, you should ensure you have the lengths of the three sides of each triangle.

From the responses you've provided, the best option is:

  • PR = DF

This indicates that one pair of corresponding sides is equal. However, to fully prove the triangles are congruent via SSS, you would also need the lengths of the other two sides (QR and EF) and a third pair of sides.

Thus, additional information needed would be:

  1. The equality of the second pair of sides (e.g., the length of QR and EF).
  2. The equality of the third pair of sides (e.g., the length of another corresponding side) to complete the SSS criterion.

If you only have one pair such as PR = DF, you will need to find out the lengths of the remaining pairs of sides to prove the triangles congruent using SSS.