Exercise 23 Page 600

We want to name the given polygon. Let's start by recalling how we can name a polygon depending on the number of its sides.

The given polygon has 4 sides, which means that it is a quadrilateral. Note that there are many types of quadrilaterals. We can determine which type of quadrilateral our polygon is. To do so, let's recall the types of quadrilaterals.

1. Trapezoid: a quadrilateral with exactly one pair of parallel sides.
2. Isosceles Trapezoid: a particular type of trapezoid whose legs are congruent.
3. Kite: a quadrilateral with two pairs of congruent consecutive sides, where opposite sides are not congruent.
4. Parallelogram: a quadrilateral with two pairs of parallel sides.
5. Rhombus: a type of parallelogram that has four equal side lengths.
6. Rectangle: a type of parallelogram that has four right angles.
7. Square: a type of rectangle that has four equal side lengths.

The following diagram illustrates each of the types of quadrilaterals and their relationship to one another.

Now let's take a look at the given polygon.

We can see that the quadrilateral has two pairs of parallel sides and no right angles. This means that it is a parallelogram.