Question

Show that if the diagonals of a quadrilateral bisect each other at right angle
is a rhombus​

Answer 1

Hope this file will help you

Answer 2

HERE IS YOUR ANSWER (. ❛ ᴗ ❛.)

Step-by-step explanation:

Take quadrilateral ABCD, AC and BD are diagonals which intersect at O. In AAOB and AAOD

DO = OBO is the midpoint

AO = AO Common side

ZAOB = ZAOD Right angle

So, AAOB AAOD

So, AB = AD

Similarly, AB BC = CD = AD can be proved which means that ABCD is a rhombus.