Question

if △fed≅△opq, what are the corresponding parts? select all that apply.
(overline{ef}congoverline{qp}) (overline{df}congoverline{qo}) (overline{fd}congoverline{qp}) (angle dcongangle p)

Explanation:

Step1: Identify corresponding vertices

When $\triangle FED\cong\triangle OPQ$, $F$ corresponds to $O$, $E$ corresponds to $P$, and $D$ corresponds to $Q$.

Step2: Determine corresponding sides

Corresponding sides are: $\overline{EF}$ corresponds to $\overline{PO}$, $\overline{FD}$ corresponds to $\overline{OQ}$, $\overline{ED}$ corresponds to $\overline{PQ}$.

Step3: Determine corresponding angles

Corresponding angles are: $\angle F$ corresponds to $\angle O$, $\angle E$ corresponds to $\angle P$, $\angle D$ corresponds to $\angle Q$.

Step4: Check options

• For $\overline{EF}\cong\overline{QP}$, since $E$ corresponds to $P$ and $F$ corresponds to $O$, this is incorrect.
• For $\overline{DF}\cong\overline{QO}$, since $D$ corresponds to $Q$ and $F$ corresponds to $O$, this is correct.
• For $\overline{FD}\cong\overline{QP}$, this is incorrect as $FD$ corresponds to $OQ$.
• For $\angle D\cong\angle Q$, not $\angle D\cong\angle P$, so this is incorrect.

Answer:

$\overline{DF}\cong\overline{QO}$