If $âˆ†ABC ≅ âˆ†FED$ under the correspondence $ABC\Leftrightarrow FED$, write all the corresponding congruent parts of the triangles.

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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 13:34:54