It is given that \( \triangle \mathrm{DEF} \sim \triangle \mathrm{RPQ} \). Is it true to say that \( \angle \mathrm{D}=\angle \mathrm{R} \) and \( \angle \mathrm{F}=\angle \mathrm{P} \) ? Why?

Given:

\( \triangle \mathrm{DEF} \sim \triangle \mathrm{RPQ} \).

To do:

We have to find whether \( \angle \mathrm{D}=\angle \mathrm{R} \) and \( \angle \mathrm{F}=\angle \mathrm{P} \).

Solution:

We know that,

If two triangles are similar, then their corresponding angles are equal.

Here,

\( \triangle \mathrm{DEF} \sim \triangle \mathrm{RPQ} \).

Therefore,

$\angle D = \angle R$

$\angle E = \angle P$

$\angle F = \angle Q$

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Updated on: 10-Oct-2022

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