Question

seg RM and seg RN are tangent segment of a circle with centre O. Prove that seg QR bisects angle MRN as well as angle MON​

Answer 1

Answer:

In ΔOMR&ΔONR

Since, OM and ON are radius of circle

So, segOM = segON

Tangents from an external point to a circle are equal in length

So, seg MR = segNR

Also seg OR = seg OR

By, side side side test of congruency

ΔRMO≅ΔRNO

⟹∠ORM=∠ORN

⟹∠MOR=∠NOR

Hence, the seg OR bisects ∠MRN as well as ∠MON

step by step explanation:

Note: Not QR bisects angle MRN as well as angle MON if O is the centre point of the circle then OR is the Bisector of the angle MRN or angle MON.

Hope you understood.

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