5. In Fig 7.28, ray AZ bisects ∠DAB as well as
∠DCB.
(i) State the three pairs of equal parts in
triangles BAC and DAC.
(ii) Is ∆BAC ≅ ∆DAC? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.
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Answer:
In BAC and DAC, the three pairs of equal parts are as given below:
DAC = CAB (AZ bisects BAD)
DCA = ACB (AZ bisects BCD)
and AC = AC (Common in both)
(ii) From (i) above, BAC DAC (By ASA congruence rule)
(iii) AB = AD (Corresponding parts of congruent triangles)
(iv) CD = CB (Corresponding parts of congruent triangles)
Step-by-step explanation:
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