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  • It is given that \Delta DEF\sim \Delta RPQ. Is it true to say that \angle D = \angle R and \angle F = angle P ? Why?

\text{It is given that} \Delta DEF\sim \Delta RPQ. \text{is it true to say that} \angle D = \angle R \text{and} \angle F = \angle P ? Why?

 

Answers (1)

Answer : [False]

Given : \Delta DEF \sim \Delta RPQ

If two triangles are similar, then their corresponding angles are equal and their corresponding sides are in the same ratio

i.e.

\frac{DE}{RP}=\frac{EF}{PQ}=\frac{DF}{RQ}

and their angles are also equal that is

\angle D=\angle R

\angle E=\angle P

\angle F=\angle Q

\text{In the given statement}  \angle D = \angle R \text{and} \angle F = \angle P

\text{But according to properties of a similar triangle} \angle F \neq \angle P \text{that is }. \text{Hence the given statement is false. }

Posted by

infoexpert23

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