Question

The diagonals of quadrilateral ABCD intersect at point K. Is each statement needed to prove that ABCD is a parallelogram?

Answer 1

Answer:

Therefore to prove that ABCD is a parallelogram we need,

BK = DK

CK = AK

Step-by-step explanation:

Given:

The diagonals of quadrilateral ABCD , intersect at point K.

To Find:

Which statement needed to prove that ABCD is a parallelogram?

Solution:

For a Quadrilateral to be a Parallelogram,

• Diagonals Bisect each other.
• Opposite Sides are Parallel and Equal.
• Opposite angles are equal.

Here Diagonals intersect at K

∴ BK = DK            ......K bisect Diagonal BD

∴ CK = AK            ......K bisect Diagonal AC

Therefore to prove that ABCD is a parallelogram we need,

BK = DK

CK = AK