Question

Show that if the diagonals of a quadrilateral bisect
each other at right angles, then it is a rhombus ​

Answer 1

Step-by-step explanation:

ਕਿ ਗੁਪਤ ੂਗੁਵੀਕੂਦੀਵੂ੮ੁੂਲੂ੮੩ਤਡੈਹੀ੭ੂਵ੪ਬਕੂ੯੪ਲਗ੪ੂਗਨੂਰ੮ੂ੪

Answer 2

Given:- Rhombus ABCD diagonal AC and BD which intersection at point O

Proof:- diagonal AC and BD bisect at 90°(right angle)

proof:- angle A+angle B

=180°( adjacent angle of rhombus is supplementary)

or 1/2 of A+1/2 of B= 90°

so, in triangle AOB angle A+ angle B= 90

so, angle O = 180°-90°

= 90°

so it is prooved that if the diagonal bisect at right angle than it is a rhombus

I hope it is helpful