# The Quadrilateral Band: Forms a Geometry Band

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## Overview

The Quadrilateral Band: Forms a Geometry Band by Paula Drake

This book discusses the attributes of quadrilaterals, which are very confusing to students. The names of the shapes and the specifics of their classifications are discussed in a story form for students.

## Product Details

ISBN-13: 9781452094854 AuthorHouse 06/05/2014 20 8.50(w) x 11.00(h) x 0.05(d)

#### Forms A Geometry Band

By Paula Drake, Dan Drewes

#### AuthorHouse

ISBN: 978-1-4520-9485-4

CHAPTER 1

Sam was a lot to learn if he's going to make a Geometry Band.

By the way here are some terms you might need ...

Geometry is the branch of mathematics that explains how points, lines, planes, and shapes are related.

Polygons are two-dimensional, or flat shapes, formed by three or more line segments.

A quadrilateral is a polygon that has four sides, four vertices and four angles.

A vertex is the point of intersection of any two adjacent sides.

A rectangle is a four sided polygon with four right angles and the opposite sides are equal.

A square is a polygon with four sides and all four right angles that are all equal.

A right angle equals 90 degrees.

By the way ... Parallel lines never intersect (cross).

A parallelogram is a quadrilateral in which both the pairs of opposite sides are parallel and equal.

A quadrilateral is a polygon that has four sides, four vertices and four angles.

Polygons are two-dimensional, or flat shapes, formed from three or more line segments.

Therefore:

Squares and rectangles are polygons, quadrilaterals and parallelograms.

A square is a rectangle, but a rectangle is NOT a square.

A trapezoid is a quadrilateral with two, and only two, opposite sides parallel or exactly one pair of parallel sides.

A trapezium is a quadrilateral that has four sides, but none of the sides equal and none of the sides are parallel.

Therefore: A trapezoid and a trapezium are polygons and quadrilaterals, but NOT parallelograms.

By the way ...

A rhombus is a parallelogram with four congruent or equal sides but only the opposite angles are equal.

A square is both a rhombus and a rectangle.

A kite is a quadrilateral with adjacent sides equal or the two sides with a common vertex are equal.

BUT ... a kite is a quadrilateral and a polygon, BUT not a parallelogram.

Therefore: A rhombus is a polygon, quadrilateral and a parallelogram.

A square is a rhombus, but a rhombus is not a square.

Many Quadrilaterals can be described using more than one name. The diagram shows the relationship among different quadrilaterals.

By the way ... here are the secrets for you to remember ...

A square is both a rhombus and a rectangle.

A square, a rectangle, a rhombus, a trapezoid, trapezium, and a kite are all quadrilaterals and polygons.

A square, a rhombus and a rectangle are parallelograms.

(Continues...)

Excerpted from The Quadrilateral Band by Paula Drake, Dan Drewes. Copyright © 2014 Paula Drake. Excerpted by permission of AuthorHouse.
All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher.
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