Advertisements
Advertisements
Question
If the diagonals of a quadrilateral bisect each other, it is a ______.
Advertisements
Solution
If the diagonals of a quadrilateral bisect each other, it is a parallelogram.
Explanation:
Since in a parallelogram, the diagonals bisect each other.
APPEARS IN
RELATED QUESTIONS
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32º and ∠AOB = 70º, then ∠DBC is equal to ______.
Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.
Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.
Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B.
Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP = CQ (Figure). Show that AC and PQ bisect each other.

A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus.
P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection O of its diagonals AC and BD. Show that PQ is bisected at O.
P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA = AR and CQ = QR.
Two sticks each of length 5 cm are crossing each other such that they bisect each other. What shape is formed by joining their endpoints? Give reason.
Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
