Question

Q6) Two sticks each of length 5 cm are crossing each other such that they bisect each other.
What shape is formed by joining their end points? Give reason.​

Answer 1

Answer:

Step-by-step explanation:

ans = Two sticks each of length 5cm which are equal in length

If the diagonal of a quadrilateral are equal and bisects each other then the quadrilateral is a rectangle. Therefore , the shape formed by joining given two sticks will be a rectangle.

hope it is clear

Answer 2

Answer:

Let AB and CD be the endpoints of sticks.

Let sticks intersect at point 0.

They bisect each other at right angles.

There will be 4 parts formed of sticks.

They are A0 ,OB, CO n OD.

AO=OB=CO=OD=3.5

Consider ∆AOD n ∆BOD

angle AOD = angle BOD =90°

AO =OD = BO

∆AOD congruent ∆BOD .

AD=BD-----(c.s.c.t)

similarly

BC=AC

AD=BC

HENCE,

AD=BD=BC=AC.

All sides are equal

so, the formed figure can be rhombus or square.

But diagonals are bisecting perpendicularly.

Hence the figure formed will be square because diagonals of square are perperdicular bisectors of each other.

Step-by-step explanation: