Question

Are and diagonals of quadrilateral ? Explain.

1) Yes, because the diagonals bisect each other.
2) No, because the sides are congruent.
3) Yes, because the sides are congruent.
4) No, because the diagonals bisect each other.

Answer 1

Yes, the diagonals of a quadrilateral bisect each other.

Step-by-step explanation:

Yes, the diagonals of a quadrilateral bisect each other. Option 1 is the correct answer. To explain, let's consider a quadrilateral ABCD with diagonal AC and diagonal BD. The diagonals intersect at a point E, dividing them into two equal parts. So, AE is equal to CE and BE is equal to DE. This property holds true for all quadrilaterals.