In a quadrilateral PQRS, the diagonals are equal in length but not perpendicular to each other. Which is the most specific name for this quadrilateral?

parallelogram

rectangle

hexagon

rhombus

Question

In a quadrilateral PQRS, the diagonals are equal in length but not perpendicular to each other. Which is the most specific name for this quadrilateral?

 parallelogram

 rectangle

 hexagon

 rhombus

anonymous · Answer

@ganeshie8 @Callisto @Hero

callisto · Answer

quadrilateral PQRS => 4-sides polygon.
From the above,  which option is not correct?

anonymous · Answer

first option?

callisto · Answer

Why?

callisto · Answer

How many sides are there in a parallelogram?

anonymous · Answer

oh wait wouldnt it be a hexagon then

callisto · Answer

Is hexagon the choice you ruled out?

anonymous · Answer

doesnt it have 6 or 7 sides so then that would be the one that doesnt go so that is the answer right?

callisto · Answer

hexagon => a polygon with 6 sides.
Since it has 6 sides, which is not a quadrilateral, so, it must *NOT* be the answer.

callisto · Answer

Now, you only have three choices left. They are:

parallelogram

rectangle

rhombus

Which one(s) has/have diagonals that are equal in length??

anonymous · Answer

rectangle?

callisto · Answer

And?

callisto · Answer

lol No more.
You should know the answer now :)

anonymous · Answer

so i was right it is a rectangle?

callisto · Answer

Yes.