Question

) A circle touches all sides of a rectangle, so the rectangle must be a

.

(A) Parallelogram (B) rhombus

(C) square

(D) trapezium​

Answer 1

Answer:

B rhombus

is your answer

Answer 2

Answer:

b rhombus

Step-by-step explanation:

A circle touches all side of a parallelogram must be a rhombus.

So, option B is correct.

Given - AB=CD

            BC=AD

Now, AP=AS

If from one external point, two tangents are drawn two circle then have equal tangent segments.

So, AP=AS   [tangent from point A]    ------(1)

⇒BP=BQ  [tangent from point B]    ---------(2)

⇒CR=CQ  [tangent from point C]     ---------(3)

⇒DR=DS  [tangent from point D]   ----------(4)

equation (1)+(2)+(3)+(4)

AP+BP+CR+DR=AS+BQ+CQ+DS

AB+DC=AD+BC    [from diagram]

2AB=2AD from ⊛

AB=AD And from  ⊛ AB=CD and BC=AD

So,  

AB=BC=CD=AD

​  

It is rhombus.