PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoAnswer variants:
\(OM\)
\(\angle PON\)
[Given]
two
common
bisected angles
\(OM\) is the angle bisector of \(\angle POQ\). \(NP\) and \(NQ\) meet \(OA\) and \(OB\) respectively at \(27^\circ\). Complete the missing fields to prove that the triangles \(OPN\) and \(OQN\) are congruent to each other.
Proof:
We know that
is the angle bisector of \(\angle POQ\).
is the angle bisector of \(\angle POQ\).
Hence, \(= \angle QON\).
[Since the angles mentioned in the previous step are ]
Now, let us consider the triangles OPN and OQN.
\(\angle OPN = \angle OQN =\) \(27^\circ\)
Also, \(ON\) is to both the triangles \(OPN\) and \(OQN\)
Here, corresponding pair of angles and one corresponding pair of sides are equal.
Thus by congruence criterion, \(OPN\) \(\cong\) \(OQN\).
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