Q. 154.7( 4 Votes )

# ABCD is a rectang

Answer : Given, in a rectangle ABCD, diagonal BDl bisects B.

Now, join AC.

In ΔBAD and ΔBCD,

ABD = CBD

A = C = 90 And BD = BD (common)  BAD BCD AB = BC

And AD = CD

But in rectangle opposite sides are equal,

AB = CD

And BC = AD AB = BC = CD = DA

So, ABCD is a square.

Hence, Proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

The lengthsRS Aggarwal & V Aggarwal - Mathematics

In each of RS Aggarwal & V Aggarwal - Mathematics

If the bisectors RD Sharma - Mathematics

In Fig. 14.113, PRD Sharma - Mathematics

In Fig. 14.114, ARD Sharma - Mathematics

Each side oRS Aggarwal & V Aggarwal - Mathematics

If ABCD is a rhomRD Sharma - Mathematics

If ABCD is a rectRD Sharma - Mathematics