wiz-icon
MyQuestionIcon
MyQuestionIcon
8
You visited us 8 times! Enjoying our articles? Unlock Full Access!
Question

ABCD is a quadrilateral in which AD=BC and DAB=CBA. Prove that BD=AC.
1071342_dc8aad28aa7041df81885226ccb25d6d.png

Open in App
Solution

In ABD and BAC,
AD=BC [ Given ]
DAB=CBA [ Given ]
AB=BA [ Common side ]

So, by the Side-Angle-Side criterion of congruence,
ABDBAC

BD=AC [CPCT]

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Properties of Parallelograms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon