Question

B.
R
(3) In the adjoining figure,
Ray OA and ray OB bisect
POR and Z QOR
respectively.
Prove that ray OA_|_ to ray OB​

Answer 1

Step-by-step explanation:

(i)

∠DAC=∠BAC

∠DCA=∠BCA

AC=AC

(ii)

By ASA criterion, triangles are congruent.

(iii)

Since triangles are congruent hence, AB=AD because both sides originate from equal angles in two triangles.

(iv)

Since triangles are congruent hence,CD=CB because both sides originate from equal angles in two triangles.