Answer:
Step-by-step explanation:
Given: ∠N≅∠S, line l bisects TR at Q.
To prove: ΔNQT≅ΔSQR
Proof:
From ΔNQT and ΔSQR
It is given that:
∠N≅∠S (Given)
∠NQT≅∠SQR(Vertical opposite angles)
and TQ≅QR ( Definition of segment bisector)
Thus, by AAS rule,
ΔNQT≅ΔSQR
Hence proved.
Statement Reason
1. ∠N≅∠S given
2. ∠NQT≅∠SQR Vertical angles are congruent
3. line l bisects TR at Q. given
4. TQ≅QR Definition of segment bisector
5. ΔNQT≅ΔSQR AAS theorem
Hence proved.
Thus, option D is correct.
