Sail E0 Webinar
Question


In the given figure, ∠DAB=∠CBA and AD=BC. Prove that ∠ACD=∠BDC.  [4 MARKS]


In The Given Figure, ∠DAB=∠CBA And AD=BC. Prove That â...


Options:
Answer: Option A
:

Proof: 2 Marks
Steps: 2 Marks
In The Given Figure, ∠DAB=∠CBA And AD=BC. Prove That â...


In ΔABC and ΔBAD,
AD = BC [Given] 
∠DAB=∠CBA   [Given]
AB=BA   [Common]
∴ΔABC≅ΔBAD (By SAS congruence rule)
⇒DB=AC   [Corresponding parts of corresponding triangles] ...... (1)
In ΔADC and ΔBCD
AD=BC    [Given]
DB=AC    [From (1)]
DC=CD(Common)
ΔADC≅ΔBCD  [By SSS congruence rule]
⇒∠ACD=∠BDC  [Corresponding parts of corresponding triangles]



Was this answer helpful ?

Submit Solution

Your email address will not be published. Required fields are marked *

Latest Videos

Latest Test Papers