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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

6. Cross Sections

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Exercise 23 Page 600

Recall how we can name a polygon depending on number of its sides.

parallelogram

Practice makes perfect

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.

Sides	Name
3	triangle
4	quadrilateral
5	pentagon
6	hexagon
7	heptagon
8	octagon

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.

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

Concept_Types_of_Quadrilaterals_1

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

Polygon

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

Subchapter links

Guided Practice p.596

Independent Practice p.597-598

H.O.T. Problems p.598

Standardized Test Practice p.598-600

Extra Practice p.599

Common Core Review p.600