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Geometric Shapes
Outline
• Shape Recognition• Properties of Basic Shapes• Triangles• Classifying Triangles• Quadrilaterals• Classifying Quadrilaterals• Regular Polygons• Line Symmetry• Rotational Symmetry• Applying Geometric Shapes in the Every Day• Activities with Geometric Shapes
Shape RecognitionLet’s start off real basic! Can you name these geometric shapes? Go ahead and label them!
Diamondor
Rhombus
Square Pentagon
Trapezoid Triangle Circle
Properties of Basic ShapesNow let’s quickly go over some properties of basic shapes. . .
SHAPE SIDES ANGLES Degrees Classifications
Triangle 3 3 180⁰ Polygon
Square 4 4 360⁰ Quadrilateral
Diamond 4 4 360⁰ Quadrilateral
Trapezoid 4 5 360⁰ Quadrilateral
Parallelogram 4 4 360⁰ Quadrilateral
Pentagon 5 5 540⁰ Polygon
Hexagon 6 6 720⁰ Polygon
Circle 0 0 360⁰
Sides
Scalene = no equal sides
Isosceles= two equal sides
Equilateral= three equal sides
Angles
Right Angle = containing an angle of 90⁰
Obtuse Angle= containing an angle > 90⁰
Acute= containing an angle < 90⁰
Triangles can be distinguished by their _____ and their ______sides angles
Triangles
All six of these characteristics can be combined. . . (see the next slide)
Classifying Triangles
Since triangles are distinguished between their sides and angles we can also categorize them by their sides and angles.
Can you place these triangles accordingly in the diagram?
QuadrilateralsQ: Does anyone know what a quadrilateral is?
D: A quadrilateral is a four sided figure.
Q: Can you think of a geometric shape that would fit this description?
These are just some examples.
Square ParallelogramDiamondTrapezoidRectangle
Review: Quadrilaterals By: ∙ EnchantedLearning.com
Classifying QuadrilateralsQuadrilaterals can best be classified by their ____________. The Venn Diagram
below demonstrates how the quadrilaterals can be classified accordingly.
01
0 = Zero parallel lines1 = One set of parallel lines2= Two set of parallel lines
2 2 2
Parallelogram
Diamond
Rectangle
parallel lines
Regular PolygonsQ: Does anyone know what a regular polygon is?
D: A regular polygon is a polygon where all the sides are the same and all the interior angles are the same.
Q: Can you think of a geometric shape that would fit this description?
3-sided regular polygon
4-sidedregular polygon
5-sided regular polygon
6-sided regular polygon
8-sided regular polygon
Review: A Study of Regular Polygons By: Tantek Çelik∙
Line SymmetryQ: Does anyone know what line symmetry is?
D. Line symmetry is when one half of an image is the mirror image of the other half
This is an example of a pentagon having line symmetry
Sometimes shapes/figures can have more than one line of symmetry.
See if you can figure out anymore lines on symmetry
between either the pentagon or the hexagon
Review: Line Symmetry By: ∙ homeschoolmath.net
Rotational Symmetry
Review: Rotational Symmetry By: ∙ Webquest
Q: Does anyone know what rotational symmetry is?
D. Rotational symmetry is when there is a center point around which the object is turned a certain number of degrees and the object still looks the same. That is it
matched itself a number of times while it is being rotated. (Webquest)
Geometry in the Every DayGeometric shapes can be found everywhere. Here are some examples of geometric
shapes in the nature
Lines symmetry can also be found everywhere. Here are some examples of geometric shapes in the nature
Check out EnchantedLearning.com for teaching geometric shapes in the classroom. They have worksheets, crafts and much more!
Activities with Geometric Shapes