Question

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

Explanation:

Step1: Identify given congruent sides

$AB \cong DE$, $BC \cong CE$

Step2: Identify right angles

$\angle B = \angle E = 90^\circ$

Step3: Check similarity ratios

Ratio of legs: $\frac{AB}{DE} = 1$, $\frac{BC}{CE} = 1$. But similarity requires all corresponding sides in proportion. The hypotenuses $AC$ and $DC$ are not marked as proportional, and we only have two pairs of congruent corresponding sides (not all three pairs in proportion, nor AA similarity as we only know right angles and no other angle info).

Answer:

$\triangle ABC$ is not similar to $\triangle DEC$.