### Video Transcript

Which congruency criterion can be
used to prove that the two triangles in the given figure are congruent? Option (A) SAS, option (B) ASA,
option (C) SSS.

In this question, weβre asked how
we might determine if the two triangles are congruent. We can see some examples of some
criterion that we could use. We can recall that the S represents
a side and A would represent angle. So letβs look at our diagram and
see if we can determine any corresponding pairs of sides or angles which are
congruent.

We can see the length π΄πΆ is
5.52. And this would be congruent with
the line π΄ prime πΆ prime. So we have a pair of corresponding
congruent sides. The line π΄π΅ is marked as 1.93,
and so is the line π΄ prime π΅ prime. So we have another pair of
corresponding sides. The final two pairs of sides, π΅πΆ
and π΅ prime πΆ prime, are marked as 3.75, the same length. Showing that three pairs of
corresponding sides are congruent would demonstrate that two triangles are
congruent. Therefore, the congruency criterion
which we could use is the SSS rule, and that was given in option (C).