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
