In the figure below, segment ac is congruent to segment ab.
which statement is used to prove that angle abd is congruent to angle acd?
answer

angle cab is congruent to angle cba.

angle dac is congruent to angle dab.

triangle acd is similar to triangle abd.

segment ad is congruent to segment ac.

Triangle ACD is similar to triangle ABD.

Step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.