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If $∆ABC ≅ ∆FED$ under the correspondence $ABC\Leftrightarrow FED$, write all the corresponding congruent parts of the triangles.
Given: $\triangle ABC \cong \triangle FED$ under the correspondence $ABC\Leftrightarrow FED$.
To do: To write all the corresponding congruent parts of the triangles.
Solution:
As given $\Delta ABC\cong\Delta FED$. Let us draw $\triangle ABC$ and $\triangle FED$.
The corresponding congruent parts of the triangle are denoted by "$\Leftrightarrow$" here and from the diagram we can write the corresponding parts of $\triangle ABC$ and $FED$.
Corresponding angles of the given triangles $\triangle ABC$ and $\triangle FED$:
$\angle A\Leftrightarrow\angle F$
$\angle B\Leftrightarrow\angle E$
$\angle C\Leftrightarrow\angle D$
Corresponding Angles of the given triangles $\triangle ABC$ and $\triangle FED$:
$\overline{AB}\Leftrightarrow\overline{FE}$
$\overline{BC}\Leftrightarrow\overline{ED}$
$\overline{AC}\Leftrightarrow\overline{FD}$
Updated on: 10-Oct-2022
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