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, we’re 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 let’s 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 𝐴𝐶 is
5.52. And this would be congruent with
the line 𝐴 prime 𝐶 prime. So we have a pair of corresponding
congruent sides. The line 𝐴𝐵 is marked as 1.93,
and so is the line 𝐴 prime 𝐵 prime. So we have another pair of
corresponding sides. The final two pairs of sides, 𝐵𝐶
and 𝐵 prime 𝐶 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).
