Advertisements
Advertisements
Question
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.
Advertisements
Solution
Sticks can be taken as the diagonals of a quadrilateral.
Now, since they are bisecting each other, therefore the shape formed by joining their endpoints will be a parallelogram.
Hence, it may be a rectangle or a square depending on the angle between the sticks.
APPEARS IN
RELATED QUESTIONS
Diagonals of a parallelogram `square`WXYZ intersect each other at point O. If ∠XYZ = 135° then what is the measure of ∠XWZ and ∠YZW?
If l(OY)= 5 cm then l(WY)= ?
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.
In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. Find the length of CF.
A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus.
In the following figure, AB || DE, AB = DE, AC || DF and AC = DF. Prove that BC || EF and BC = EF.
ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.
If the diagonals of a quadrilateral bisect each other, it is a ______.
If diagonals of a quadrilateral bisect each other, it must be a parallelogram.
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.
