Q. 174.7( 4 Votes )

ABCD is a paralle

Answer :

Given.


ABCD is a parallelogram and ABCE is a quadrilateral


Diagonal AC divides the quadrilateral shaped region ABCE into two equal parts


Formula used.


If 2 triangles are on same base And having equal area then they lies between 2 parallel lines.


Diagonal of parallelogram divide it into 2 congruent triangles



In quadrilateral ABCE


As AC divides quadrilateral into 2 equal parts


Triangle ABC = triangle AEC


In parallelogram ABCD


As AC is diagonal which divides parallelogram into 2 equal triangles


Triangle ABC = triangle ADC


Comparing both


We get


Triangle AEC = triangle ADC


As both triangles triangle AEC ,Δ ADC are equal


And both lies on same base AC


Hence both triangles comes between parallel lines AC , DE


AC || DE


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