What additional piece of information is needed to prove the two triangles congruent using SAS?

Question

(1 point)
Responses

VM¯¯¯¯¯¯¯¯¯ ≅ WV¯¯¯¯¯¯¯¯¯
VM¯¯¯¯¯¯¯¯¯ ≅ WV¯¯¯¯¯¯¯¯¯

∠VKM ≅ ∠VUW
∠VKM ≅ ∠VUW

∠UWK ≅ ∠KMV
∠UWK ≅ ∠KMV

MK¯¯¯¯¯¯¯¯¯¯ ≅ WU¯¯¯¯¯¯¯¯¯

Answer 1

To prove the two triangles congruent using the SAS (Side-Angle-Side) postulate, we need one pair of sides and the included angle to be congruent between the two triangles.

In this case, you already have the sides VM ≅ WV, and you also have the angle ∠VKM ≅ ∠VUW, which is included between the sides.

To satisfy the SAS condition:

• We already have the congruence of the sides (VM and WV).
• We also have the angle (∠VKM and ∠VUW).

Now, we need one additional piece of information that provides the congruence of one more pair of corresponding sides.

From the available options, the MK ≅ WU segment provides the necessary additional information.

So, the additional piece of information needed to prove the two triangles congruent using SAS is:

MK¯¯¯¯¯¯¯¯¯¯ ≅ WU¯¯¯¯¯¯¯¯¯.