Question

question 3 (multiple choice worth 1 points) (03.05r lc)
name the similar triangles.
diagram of triangles with points a, b, c, d, e, f
options:
δabc ~ δdef
δabc ~ δefd
δabc ~ δdfe
δabc ~ δfed

Explanation:

To determine similar triangles, we match corresponding angles. In the diagram, $\angle A$ is common (or corresponding) to both $\triangle ABC$ and $\triangle FED$, $\angle C$ corresponds to $\angle F$, and the third angles will also correspond. So the order of vertices must match corresponding angles. Thus, $\triangle ABC \sim \triangle FED$.

Answer:

$\boldsymbol{\triangle ABC \sim \triangle FED}$ (the option: $\triangle ABC \sim \triangle FED$)