Question

If the bisectors of all four angles of a parallelogram are made to intersect each

other then the new quadrilateral thus formed will be a:

(a) Rhombus (b) Rectangle (c) Square (d) Parallelogram​

Answer 1

Answer:

opition B

Step-by-step explanation:

ABCD is a parallelogram

The adjacent angles of a parallelogram sum up to give 180∘

i.e.,∠B+∠C=180∘2∠B+2∠C=90

From ΔOBC⟹∠O=90∘⟹∠POR=90∘

Similarly, all the 4 vetrices have right angles at their corners

Hence PQRS is rectangle

Answer 2

Step-by-step explanation:

ABCD is a parallelogram

The adjacent angles of a parallelogram sum up to give 180

∘

i.e.,∠B+∠C=180

∘

2

∠B

+

2

∠C

=90

From ΔOBC⟹∠O=90

∘

⟹∠POR=90

∘

Similarly, all the 4 vetrices have right angles at their corners

Hence PQRS is rectangle.