In the given figure, if AD = AB and ∠DAO = ∠OAB, then which of the following is always true?

OB = AB

No worries! We‘ve got your back. Try BYJU‘S free classes today!

DO = AD

No worries! We‘ve got your back. Try BYJU‘S free classes today!

OB = DC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

DC = CB

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D DC = CB
In ΔADC and ΔABC,
∠DAC = ∠BAC (∵ ∠DAO = ∠OAB)
AD = AB (Given)
AC = AC (Common)
∴ ΔADC ≅ ΔABC (SAS congruence rule)
⇒ DC = CB
Hence, the correct answer is option (d).

Suggest Corrections

Similar questions

In the given figure, $A B > A C .$ Then, which of the following is true?

(a) AB < AD

(b) AB = AD

(d) Cannot be determined

\frac{A B}{B D}

Join BYJU'S Learning Program