Answer: A.True
Explanation:
In the given picture we can see that ∠B ≅ E=31° and ∠A ≅ ∠D=90°[right angle]. As we have two angles in both triangles are congruent.
So by AA similarity postulate, we have
ΔABC≈ΔDEF
Thus, based only on the information given in the diagram, it is guaranteed that ΔABC≈ΔDEF.
AA Similarity Postulate tells that two triangles are similar if they have two corresponding angles that are congruent or equal in measure.