Question

show that the digonals of a rectrangle divide it in four triangles equal area.​

Answer 1

Answer:

Step-by-step explanation:

Given:- ABCD is a //gm

To prove:- ΔAOB ≅ ΔBOC ≅ ΔCOD ≅ ΔDO

Proof:- In ΔAOB & ΔCOD

LBAO = LDCO (alternate interior angle)

AB = CD (opp. sides are equal)

LABO = LCDO (alternate interior angle)

Therefore, ΔAOB≅ ΔCOD by AAS Congruence criterion.

Similarly,

ΔAOB ≅ ΔBOC ≅ ΔCOD ≅ ΔDOA