“…geometric shapes are the alphabet in which the book of nature is written." -Galileo

  You are learning to classify quadrilaterals. Objectives

Point - A place in time or space Line - a series of points that extends forever Figure - a line or shape that represents something

Point - A place in time or space Line - a series of points that extends forever Figure - a line or shape that represents something

Point - A place in time or space Line - a series of points that extends forever Figure - a line or shape that represents something

Point - A place in time or space Line - a series of points that extends forever Figure - a line or shape that represents something

Shape - A closed figure Polygon - A closed plane figure. Straight edges Point - A place in time or space Line - a series of points that extends forever Figure - a line or shape that represents something

Shape - A closed figure Polygon - A closed plane figure. Straight edges

Shape - A closed figure Polygon - A closed plane figure. Straight edges

Shape - A closed figure Polygon - A closed plane figure. Straight edges

Shape - A closed figure Polygon - A closed plane figure. Straight edges

Shape - A closed figure Polygon - A closed plane figure. Straight edges

Shape - A closed figure A closed plane figure. Straight edges Polygon- A closed plane figure. Straight edges

A closed plane figure. Straight edges Polygon - A closed plane figure. Straight edges

A closed plane figure straight edges Polygon - A closed plane figure. Straight edges Quadrilateral-

A closed plane figure straight edges Polygon - A closed plane figure. Straight edges

Quadrilateral - A closed plane figure straight edges Polygon - A closed plane figure. Straight edges four

Polygon - A closed plane figure. Straight edges Quadrilateral - A closed plane figure straight edges four

Quadrilateral - A closed plane figure four straight edges

Quadrilateral - A closed plane figure four straight edges

Quadrilateral - A closed plane figure four straight edges

Quadrilateral - A closed plane figure four straight edges

Quadrilateral - A closed plane figure four straight edges

Quadrilateral - A closed plane figure four straight edges every single one of these polygons.

Like other polygons, quadrilaterals have properties. We can look at the length of the sides. We can look at the size of the angles We look to see if opposite sides are parallel We look to see if opposite sides are congruent angle-measures how far a figure has rotated around a point congruent-exact same shape-exact same size parallel-lines that never meet obtuse-an angle greater than 90 acute-an angle less than 90 right-an angle equal to 90 acute right obtuse

Like other polygons, quadrilaterals have properties. angle-measures how far a figure has rotated around a point congruent-exact same shape-exact same size parallel-lines that never meet obtuse-an angle greater than 90 acute-an angle less than 90 right-an angle equal to 90 We classify quadrilaterals into groups that have similar properties. classify-organize into groups based on properties Similar-same figure could be different size These groups are called parallelograms rectangles square irregular rhombi (Plural for rhombus) trapezoids Kite or diamond para lel ogram parallelogram

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Opposite sides are parallel. Let’s look at the property that makes a quadrilateral a parallelogram

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

Parallelograms Our biggest group is the parallelograms. Let’s look at the property that makes a quadrilateral a parallelogram Opposite sides are parallel.

acute right obtuse Parallelograms Opposite sides are parallel. Rectangles There are special parallelograms we call rectangles. Four right angles So we look at another property

Parallelograms Opposite sides are parallel. Rectangles There are special parallelograms we call rectangles. Four right angles So we look at another property

Parallelograms Opposite sides are parallel. Rectangles Four right angles

Parallelograms Opposite sides are parallel. Rectangles Four right angles A square is a rectangle that has congruent sides All four sides are exactly the same size Square

Parallelograms Opposite sides are parallel. Rectangles Four right angles A square is a rectangle that has congruent sides All four sides are exactly the same size Square

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square There is one more type of parallelogram. It is called a rhombus

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square There is one more type of parallelogram. It is called a rhombus Rhombus

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square Four sides are congruent

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square Four sides are congruent But does not need four right angles

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square But does not need four right angles

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square But does not need four right angles

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square But does not need four right angles

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. They are not parallelograms

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. They are not parallelograms

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid Trapezoids are pretty easy. They only need one pair of parallel lines That’s it, no more rules! Just add two more lines and you have a trapezoid.

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid Trapezoids are pretty easy. They only need one pair of parallel lines That’s it, no more rules! Just add two more lines and you have a trapezoid.

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines So, is a square a trapezoid?

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines So, is a square a trapezoid? Yes No Click one.

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines So, is a square a trapezoid?

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines So, is a square a trapezoid? Of course it is! Squares are so cool!

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Now, the last named quadrilateral. This one has two rules. One right angle. Two pair of congruent lines

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Now, the last named quadrilateral. This one has two rules. One right angle. Two pair of congruent lines What does it look like?

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines What does it look like? Could it be a kite?

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Could it be a kite?

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Could it be a kite?

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Some definitions of kite do not require a right angle.

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Some definitions of kite do not require a right angle.

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Now let’s talk about two more types of quadrilaterals. Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Some definitions of kite do not require a right angle.

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines The rest of the quadrilaterals we see are irregular

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines The rest of the quadrilaterals we see are irregular

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Irregular

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Rhombus Square But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Irregular

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Irregular Quadrilaterals

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Irregular Quadrilaterals

Parallelograms Opposite sides are parallel. Rectangles Four right angles Four sides are congruent Square Rhombus But does not need four right angles Trapezoid They only need one pair of parallel lines Kite or Diamond One right angle. Two pair of congruent lines Irregular Quadrilaterals