Question

in fig 9.41 , AC = DB and AB is perpendicular to BC . also DC is perpendicular to BC . state which of the following statement is true​

Answer 1

Step-by-step explanation:

In the given figure, if AC = DB and AB is perpendicular to BC, and DC is perpendicular to BC, then the following statement is true:

The quadrilateral ABCD is a parallelogram.

Since AB is perpendicular to BC and DC is perpendicular to BC, this implies that AB and DC are perpendicular to each other. And since AC = DB, this implies that the opposite sides of the quadrilateral are equal in length and parallel. Thus, ABCD is a parallelogram.

So, the statement "The quadrilateral ABCD is a parallelogram" is true.