Question

In a village, four boys
were playing in a ground. They planned to device a game using geometrical concepts. Ramesh took the lead and planned in the following manner: Four poles were marked in the ground as A, B, C, D. With the help of a rope, the poles were joined to form a quadrilateral. Now, Ramesh selected four boys such as P, Q, R and S and placed in the mid-points of the rope paths... After making this arrangement, they started playing throw ball in the order from P to Q; Q to R; R to S and finally from S to P. On the basis of this arrangement,
i) Which geometrical shape is generated by PQRS?
(a) Square
(b) Rhombus
(c) Rectangle
(d) Parallelogram

(ii) Justify the shape generated by PQRS with a geometrical principle.

(iii) What shape is expected by the join of PQRS if ABCD forms a rhombus?

Please Help Me!!!! ​

Answer 1

Answer:

1. a

2. Because the points joining the mid points of quadrilateral always form a square

3. As rhombus is also a quadrilateral so it will also form a square