PDF chapter test TRY NOW
Answer variants:
\(\angle QON\)
angle bisector
corresponding pair of angles
bisected angles
common
\(26^\circ\)
\(OM\) is the angle bisector of \(\angle POQ\). \(NP\) and \(NQ\) meet \(OA\) and \(OB\) respectively at \(26^\circ\). Complete the missing fields to prove that the triangles \(OPN\) and \(OQN\) are congruent to each other.
Proof:
We know that \(OM\) is the .
Hence, \(\angle PON = \) .
[Since the angles mentioned in the previous step are ]
Now, let us consider the triangles OPN and OQN.
\(\angle OPN = \angle OQN =\) [Given]
Also, \(ON\) is to both the triangles \(OPN\) and \(OQN\)
Here, two and one corresponding pair of sides are equal.
Thus by congruence criterion, \(OPN\) \(\cong\) \(OQN\).
Register for free to see more content