205k views
2 votes
Are these triangles congruent? If so, state why. Choose the correct answer.

Are these triangles congruent? If so, state why. Choose the correct answer.-example-1
User Vallerie
by
5.4k points

1 Answer

4 votes

Answer: C) The triangles are not congruent

======================================================

Step-by-step explanation:

At first glance, they seem to be congruent. However, we simply don't have enough information to say yes or no.

Note how VT = VT by the reflexive theorem. This is the shared overlapping sides.

The tickmarks indicate WT = VU is another pair of congruent sides.

Finally, the red arcs indicate angles TWV and VUT are congruent.

We have two pairs of congruent sides and a pair of congruent angles; however, the angles are not between the congruent sides. Recall that SSA is not a valid congruence theorem. This is because SSA could lead to ambiguity.

So that's why we don't have enough info to say if they are congruent or not. That's why choice C is the best answer.

User Wernsey
by
5.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.