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Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles1 Mark
Question
It is given that $\triangle\text{DEF}\sim\triangle\text{RPQ}.$ Is it true to say that $\angle\text{D}=\angle\text{R}\text{ and }\angle\text{F}=\angle\text{P}?$ Why?
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Answer

False:
When $\triangle\text{DEF}\sim\triangle\text{RPQ}$ each angle of a triangle will be equal to the corresponding angle of similar triangle so
$\angle\text{D}=\angle\text{R}$
$\angle\text{E}=\angle\text{P}$
$\angle\text{F}=\angle\text{Q}$
So, $\angle\text{D}=\angle\text{R}$ is true but $\angle\text{F}\neq\angle\text{P.}$
Hence, it is not true that $\angle\text{D}=\angle\text{R}$ and $\angle\text{F}=\angle\text{P}.$

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