Question

△def and △fgh are shown below.
which statement is true?
△def is similar to △fgh.
△def is not similar to △fgh.
there is not enough information to determine whether the triangles are similar.

Explanation:

Step1: Identify right angles

$\angle D = \angle GFH = 90^\circ$ (right angles marked)

Step2: Check corresponding angles

$\angle DFE = \angle GHF$ (no evidence of equal angles; only right angles match, no other angle/side info)

Step3: Evaluate similarity conditions

We only know one pair of equal angles. For AA similarity, we need two pairs of equal angles; we have no side ratio data either.

Answer:

There is not enough information to determine whether the triangles are similar.