NEET Foundation 2022.
Biology Foundation for Class 10.
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Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Let the diagonals intersect at O.
Rhombus => AB = BC = CD = DA and diagonals AC and BD are perpendicular.
compare the triangles ABO and BOC.
angle AOB = 90 = angle AOC.
side AB = side AC
side OB is common.
hence they are congruent. So angle ABO = angle CBO
hence diagonal BD bisects angle B.
You will find similarly, AOD and DOC are congruent. There is one common side, one right angle and AD = CD. Hence OD (or BD) bisects angle D.
Similarly triangles BOC and COD are congruent. Hence OC (or AC) bisects angle C.
similarly, from triangles DOA and AOB , we find OA (or CA) bisects angle A