If you are going to use the sas postulate to prove these two triangles congruent what additional information do you need

Option D. ET=IT

Step-by-step explanation:

we know that

The Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

the included angle ∠ETK of triangle TEK is congruent with the included angle ∠KTI of triangle TIK

the side KT is a common side both triangles

therefore

ET must be equal to IT to prove that triangles TEK and TIK are congruent by SAS postulate