Are these triangles congruent? If so, state why. Choose the correct answer.
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Answer: C) The triangles are not congruent
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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.