Question

in a given figure is equals to de and BC is parallel to CD prove that the points A B C D are concyclic also prove that the diagonals of quadrilateral ABCD are equal

Answer 1

it's a theorem

so, by midpoint theorem if 2 point lie between same parallel lines and one point is given mid point so other one is also become mid point

so BC =AD/2

therefore it is trapezium

so, property of trapezium said that it the diagonals is equal

Answer 2

Hence Proved

Given,

In a given figure is equals to de and BC is parallel to CD

To find,

Prove that the points A B C D are concyclic also prove that the diagonals of quadrilateral ABCD are equal

Solution,

it's a theorem

so, by midpoint theorem if 2 point lie between same parallel lines and one point is given mid point so other one is also become mid point

so BC =AD/2

therefore it is trapezium

so, property of trapezium said that it the diagonals is equal

#SPJ3