Question

6. In the adjoining figure, ray AZ bisects ZDAB as well
as ZDCB.
(1) State the three pairs of equal parts in triangles
BAC and DAC
(it) IS ABAC ADAC? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.

Answer 1

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.