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3 years ago

Which postulate or theorem proves that △ RNM and △ QNP are congruent?

Mathematics

2 answers:

Zigmanuir [339]3 years ago

7 0

SAS since ∠RNM is congruent ∠PNQ by vertical angles which will give you the angle you need for SAS.

Aliun [14]3 years ago

3 0

Answer:

B) SAS congruence postulate

Step-by-step explanation:

We have marked that RN and NQ are congruent. We also have marked that MN and NP are congruent.

∠MNR≅∠QNP because they are vertical angles. Vertical angles are opposite angles that share only a vertex; these are vertical angles so they are congruent.

This gives us two sides and an included angle; this is SAS.

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3 years ago

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______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

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SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

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______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

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I think it's suppose to go

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