Question

Determine the name of the quadrilateral that fits the given properties.

Both pairs of opposite sides are parallel and congruent, but all four sides are not necessarily congruent, and no angles are necessarily right angles. The quadrilateral is a:

Answer 1

Let's draw a picture

Answer 2

rhombus?

Answer 3

A rhombus has all 4 congruent sides, and it says not to assume that so we have to get more general than that

Answer 4

no

Answer 5

in rhombus all sides are congruent

Answer 6

It would just have to be a parallelogram

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

Answer 7

We can't get anymore specific than that cause congruent (which we can't assume=rhombus)
We can't talk about the right angles=rectangle
And squares are a type of rectangle/rhombus so we can;t assume that either.
The only other quadrilaterals left are kites (but that doesn't have parallel sides) and a trapezoid, but that doesn't have two pairs of parallel sides and this figure does.