Question

Activity to prove triangle and parallelogram on same base and btw same parallels are half in areas

Answer 1

const two parallelograms on the same base and between same parallels

name one parallelogram ABCD and the other EBCF

in triangle ABE and triangle DCE,

AB=DC

angle A = angle D

angle E= angle F

.: triangle ABE is congruent to triangle DCF by AAS congruency

conguent fig are equal in area

.: ar(ABE) = ar(DCF)----------------- eq 1

add the first eq to ar(BEDC)

ar(ABE) + ar(BEDC) = ar (DCF) + ar(BEDC)

.: ar(ABCD) = ar(EBCD)