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?

AcademicMathematicsNCERTClass 10

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,

$\angle D = \angle R$

$\angle E = \angle P$

$\angle F = \angle Q$

raja
Updated on 10-Oct-2022 13:27:56

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