Let's start by explaining that a quadrilateral is any polygon that has four sides and four vertices.
There are several types of quadrilaterals; however, assuming that the image of the quadrilateral is attached, we are talking about a parallelogram because it has two pairs of parallel sides.
In addition, this is a especial parallelogram called rectangle, since its four sides form right angles ().
We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.
Let us check our given choices one by one.
We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.
Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.
We know that a trapezoid has one pair of parallel sides.
Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.
We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.
Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.
draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring). so find the distance between (1,2) and (4,2). that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3. it is a regular polygon which means all sides are congruent. you have 6 sides (hexa) so multiply 6 by 3 to receive 18.