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Answers
→ Diagonals if a parallelogram divide it into 4 triangles is equal area.
→ And also diagonals divide the parallelogram into 4 triangles such that
→ Pair of opposite triangle are congruent..
→ We know that diagonals of a parallelogram bisect each other.
→ When you consider ∆ABC , BO is median
→ So median divide the triangle into 2 equal triangles of equal area.
→ So all the 4 smaller triangles are equal in area.
→ When you see pair of opposite triangles
→ They are congruent so the called it as 4 congruent triangles.
HOPE IT HELPS
Step-by-step explanation:
GIVEN- ABCD is a //gm
To prove - ΔAOB ~ ΔBOC ~ ΔCOD ~ ΔDOA
Proof - In ΔAOB & ΔCOD
.LBOA = LDCO(alternate interior angle)
AB =CD(opp. sides are equal)
LABO=LCDO(alternate interior angle)
Therefore, ΔAOB~ΔCOD by AAS congruence
Similary ΔAOD~ΔBOC~ΔCOD~ΔDOA
Hence proved