Question

Who am I? I am a quadrilateral with opposite sidescongruent and parallel, all of my angles are 90° andmy diagonals are congruent.d

Answer 1

Let's list all information we have:

- quadrilateral (4 sides)

- opposite sides congruent and parallel.

- all angles are 90°

- diagonal are congruent.

So, if we have a quadrilateral, we have something like this:

However, it is given that all anlges are 90°, which limits our possible drawing. So, something like this:

Let's see, this is a rectangle, it has opposite side congruent (equal length), the opposite sides are parallel, all the angles are 90° and the Diagonals have equal lengths, because they form congruent triangles.

It could also be a square:

Beucase it has all of the characteristics given.