How do I find the missing sides in the triangle?

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab

Use circumcenter theorem to solve for the given values