Maths-
General
Easy
Question
In the figure, ray AZ bisects as well as .
(i) State the three pairs of equal parts in triangles BAC and DAC.
(ii) Is ΔBAC ⩭ ΔDAC ? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.
Hint:
First find the congruence rule and then proceed.
The correct answer is: 2 different triangles.
(i) From the figure, we have
AC = AC (common side)
(ii) By, ASA congruence criterion, the triangles are congruent.
That is,
AC = AC
(iii) Since the triangles are congruent, AB = AD because both sides originate from
equal angles in 2 different triangles.
(iv) Since the triangles are congruent, CD = CB because both sides originate from
equal angles in 2 different triangles.
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