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CLASSIFYING QUADRILATERALS. “…geometric shapes are the alphabet in which the book of nature is written." -Galileo. Objectives. You are learning to classify quadrilaterals . Semantic Feature Analysis Sorting Pages 1 Ovals, 2 quadrilaterals. Quadrilateral Semantic Feature Analysis.
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CLASSIFYING QUADRILATERALS “…geometric shapes are the alphabet in which the book of nature is written." -Galileo
Objectives • You are learning to classify quadrilaterals. • Semantic Feature Analysis • Sorting Pages 1 Ovals, 2 quadrilaterals
Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space
Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space
Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space
Figure- a line or shape that represents something What you already know Line- a series of points that extends forever Point- A place in time or space
Figure- a line or shape that represents something Polygon- A closed plane figure. Straight edges Shape- A closed figure Line- a series of points that extends forever Point- A place in time or space
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 more Geometry definitions
Polygon- A closed plane figure. Straight edges Shape- A closed figure
A closed plane figure. Straight edges A closed plane figure. Straight edges Polygon- Shape- A closed figure
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
Quadrilateral- A closed plane figure straight edges four Polygon- A closed plane figure. Straight edges
Quadrilateral- A closed plane figure straight edges Polygon- 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. What a mess!
Let’s get organized! Like other polygons, quadrilaterals have properties. We can look at the length of the sides. acute-an angle less than 90 We can look at the size of the angles angle-measures how far a figure has rotated around a point right acute obtuse congruent-exact same shape-exact same size We look to see if opposite sides are parallel obtuse-an angle greater than 90 parallel-lines that never meet We look to see if opposite sides are congruent right-an angle equal to 90
Let’s get organized! Like other polygons, quadrilaterals have properties. We classify quadrilaterals into groups that have similar properties. acute-an angle less than 90 These groups are called angle-measures how far a figure has rotated around a point parallelogram parallelograms para ogram lel classify-organize into groups based on properties rectangles congruent-exact same shape-exact same size square rhombi (Plural for rhombus) obtuse-an angle greater than 90 trapezoids Kite or diamond parallel-lines that never meet irregular right-an angle equal to 90 Similar-same figure could be different size
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.
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 Opposite sides are parallel. Rectangles There are special parallelograms we call rectangles. So we look at another property Four right angles right acute obtuse
Parallelograms Opposite sides are parallel. Rectangles There are special parallelograms we call rectangles. So we look at another property Four right angles
Parallelograms Opposite sides are parallel. Rectangles Four right angles A square is a rectangle
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square A square is a rectangle that has congruent sides All four sides are exactly the same size
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square A square is a rectangle that has congruent sides All four sides are exactly the same size
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent There is one more type of parallelogram. It is called a rhombus
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent Rhombus There is one more type of parallelogram. It is called a rhombus
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent Rhombus Four sides are congruent
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Four sides are congruent Rhombus Four sides are congruent But does not need four right angles
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Rhombus But does not need four right angles Four sides are congruent
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Rhombus But does not need four right angles Four sides are congruent
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Rhombus But does not need four right angles Four sides are congruent
Parallelograms Opposite sides are parallel. Rectangles Four right angles Square Rhombus But does not need four right angles Four sides are congruent Now let’s talk about two more types of quadrilaterals. They are not parallelograms