Question

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? Giive reasons.

Answer 1

Answer:

A square or a rhombus

Answer 2

Answer:

The shape formed will be a square.

Step-by-step explanation:

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.