Question

ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that​

Answer 1

See answer below

Explanation:

ABCD is a parallelogram Given

BC ≅ AD; AB ≅ DC opposite sides of a parallelogram ≅

Δ AXB = 1/2 (AB)(AD) Formula for the area of a Δ

Δ BYC = 1/2 (BC) (DC) Formula for the area of a Δ

1/2 (AB)(AD)= 1/2(BC)(DC) Substitution

∴ Area of Δ AXB = Area of ΔBYC