What is the Quadrilateral Family? Polygons with four sides are known as the quadrilaterals. The sum of all the interior angles of a polygon is 360 degrees. Quadrilaterals are fundamentally broken into parallelograms and trapezoids. Parallelograms include square, rectangle, and rhombi, and trapezoid includes isosceles trapezoid. Apart from these two categories, a kite is also another common type of quadrilateral. Kite - Kite is the quadrilateral with two pairs of consecutive sides and non-congruent opposite sides. One of the pair of the opposite side is bisected by a diagonal. The diagonal of the kite is also non-congruent. Trapezoid - A trapezoid is a quadrilateral that has exactly one pair of parallel opposite sides. The legs of its angles are all supplementary. Isosceles trapezoid is a trapezoid that has congruent base angles and the legs of the angles are also congruent. Also, the diagonal of isosceles trapezoid is congruent. Parallelogram - A parallelogram is a quadrilateral that has two pairs of parallel sides with congruent, opposite angles and sides. Diagonals of a parallelogram bisect each other, and the consecutive angles are supplementary. Rhombus - A rhombus is a type of parallelogram that has four congruent sides and non-congruent diagonals. These diagonals bisect the pair of opposite angles and are perpendicular. Square - Square is the parallelogram that has four congruent angles and sides. The diagonals of a square are also congruent. Square exhibits all the properties of the rectangle and rhombus. Rectangle - A rectangle is a parallelogram with four congruent right angles and diagonals. The diagonal of a rectangle creates four isosceles triangles.

• ### Basic Lesson

Trapezoid has only one set of parallel sides. (True or False) True because it is the property of trapezoid that it has one set of parallel side and other are non parallel.

• ### Intermediate Lesson

Demonstrates the concept of advanced skills when working with objects in the quadrilateral family.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the The Quadrilateral Family. The opposite sides of a parallelogram are represented by x + 8 and 3x - 34. Find the length of the side of the parallelogram represented by x - 1.

• ### Independent Practice 2

Students use the skills they have learned with Quadrilateral Family in 20 assorted problems. The answers can be found below. Example: The opposite sides of a parallelogram are represented by x+8 and 2x3. Find the length of the side of the parallelogram represented by 4x- 9.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of The Quadrilateral Family.

• ### Skill Quiz

This tests the students ability to understand The Quadrilateral Family.

• ### Basic Lesson

Guides students through the properties of parallelograms and squares. Example: Which statement describes the properties of a parallelogram? a. The bases are parallel. b. The diagonals bisect each other. c. The opposite angles are supplementary. d. The legs are congruent.

• ### Intermediate Lesson

Demonstrates the how to find various measures based on the properties of quadrilaterals. The perimeter of a square is 360. What is the area of the square? The square has 4 congruent sides, if The perimeter is 360, each side must be 360/4= 90. each side is 90 ,the area of square is base times height = 90 x 90 =8100.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Quadrilateral Family. Indicate whether the statements are true or false.

• ### Independent Practice 2

Students use Quadrilateral Family in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Quadrilateral Family.

• ### Skill Quiz

This tests the students ability to understand the concepts of quadrilateral families.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Introvert vs. Extroverts

The difference between an introvert and extrovert mathematicians is: An introvert mathematician looks at his shoes while talking to you. An extrovert mathematician looks at your shoes.