Question

if diagnols of parallelogram are equal then show it is a rectangle? plz solve on a page and send picture

Answer 1

let the sides of parallelogram be AB,BC,CD,AD.
In both triangle formed,
ab=cd(opp. sides of parallelogram)
bc=ad
ac=bd(given)
therefore triangles are congruent
angle a = angle c by cpct
angles are co interior
angle a +angle a = 180 degree (a=c)
angle a = 90 degree
angle a = 90 degree and opp, sides are equal ABCD IS A PARALLELOGRAM