Question

If x = 5, what additional information is necessary to show that triangle DAC is congruent to triangle BAC by SAS

Answer 1

Lengths of AD and AB. They must be same for theorem SAS

Answer 2

`\overline{\rm AD} = \overline{\rm AB}`

Explanation:

Two figures are congruent if they have the same shape and size, although their position or orientation are different. The congruence criteria correspond to the postulates and theorems that state what are the minimum conditions that two or more triangles must meet in order to be congruent. One of the congruence criteria is:

SAS (Side-Angle-Side): Two triangles are congruent if they have two sides and the angle determined by them respectively equal.

So, considering the previous information and the data provided by the problem. Then, the additional information necessary to show that triangle DAC is congruent to triangle BAC is:

`\overline{\rm AD} = \overline{\rm AB}`