Question

If CO is parallel to ST, and CS is parallel to OT. Quadrilateral cost is a?

Answer 1

Given : CO is parallel to ST, and CS is parallel to OT.

To find : Quadrilateral COTS

Solution:

CO ||  ST

OT ||  CS

Hence pair of opposite sides are parallel

Hence given quadrilateral ais a parallelogram

A quadrilateral is a parallelogram

if pair of opposite sides are parallel

pair of opposites sides are equal

diagonal bisect each other.

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Answer 2

Correct Question :- If CO is parallel to ST, and OS is parllel to CT and CS is perpendicular to OT. Quadrilateral COST is a ?

Answer :- Rhombus .

we know that,

• In rhombus opposite sides are parallel and diagonals intersect at 90° .
• In square also opposite sides are parallel and and diagonals intersect at 90° .

so,

→ CO ll ST

→ OS || CT

• Both Opposite sides are parallel .

and,

→ CS ⟂ OT . (Diagonals intersect at 90°.)

therefore, we can conclude that, COST is a rhombus .

[Note :- since all sides are not given equal , we can't assume its a square. ]

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