Trudy says that two pairs of congruent angles can be used to show that the two triangles are similar is correct
Solution:
Given, Trudy says that two pairs of congruent angles can be used to show that the two triangles are similar.
We have to find Is she correct ?
Yes, Trudy statement is correct. We can say that by AA (Angle-Angle) axiom.
AA Axiom - If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar.
We know this because if two angle pairs are the same, then the third pair must also be equal.
When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
So, the two triangles will be similar.
Hence, Turdys statement is true.