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Plane Figures SOL5.13 GES Mrs. Norman
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Which Shapes Are Polygons? Why? PolygonsNot Polygons
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What is a Polygon? A polygon is a closed plane figure made up of line segments. The names of common polygons tell how many sides the polygon has.polygons Triangle (3 sides) Hexagon (6 sides) Pentagon (5 sides) Quadrilateral (4 sides) vertex side Octagon (8 sides) 4 4 4 3 3 33 3 3 3 3 2 2 2 2 2 2 2 2
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Plane Geometric Figures A polygon is a closed plane figure with straight sides. A regular polygon has congruent sides. congruent the same size and shape
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Bees love Hexagons
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Quadrilaterals Trapezoi d Exactly 1 pair of parallel sides Parallelogram 2 pairs of parallel sides Rhombus All sides congruent Rectangle Right angles Square Kite 2 pairs of adjacent congruent sides 1 pair of congruent angles
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Quadrilaterals Trapezoi d Exactly 1 pair of parallel sides Parallelogram 2 pairs of parallel sides Rhombus All sides congruent Rectangle Right angles Square Kite 2 pairs of adjacent congruent sides 1 pair of congruent angles
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Describe and Compare Polygons: Sort polygons by their properties at http://illuminations.nctm.org/ActivityDetail.aspx ?ID=34
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Go to this site to make shapes with a virtual geoboard! http://matti.usu.edu/nlvm/nav/frames_asid_129_g_3_t_3. html If you annotate over the desktop with ActiveInspire you can measure their sides and angles!
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Adding Angles of Polygons http://illuminations.nctm.org/ActivityDetai l.aspx?ID=9 The angles of a triangle add to…. The angles of a quadrilateral add to…. Now explore further with this NCTM game:
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What is a Regular Polygon? Clue: What do these polygons have in common? A regular polygon has sides of equal length and angles of equal measure Triangle (3 sides) Octagon (8 sides) Hexagon (6 sides) Pentagon (5 sides) Quadrilateral (4 sides) These are regular polygons 4 4 45 5 5 52 2 2 2 2 2 2 2 3 3 3 3 3
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Polygon Videos BrainPop
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CLASSIFYING ANGLES (REVIEW)
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ACUTE ANGLE An acute angle has a measure between 0° and 90°. (a cute = little)
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RIGHT ANGLE A right angle has a measure of 90°. (square = right = 90°)
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OBTUSE ANGLE An obtuse angle has a measure between 90° and 180°. (obtuse = obese)
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STRAIGHT ANGLE A straight angle has a measure of 180°. (straight = flat)
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CLASSIFYING TRIANGLES (REVIEW)
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Classifying Triangles Equilateral triangle All sides are the same (equal) length. The sum total of every triangle = 180° So, if all of the angles are the same… 3 ÷ 180° = 60° Each of the three angles of an equilateral triangle is 60°
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Classifying Triangles Isosceles triangle At least two sides are the same (equal) length. 6 4 44 4
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Classifying Triangles Scalene triangle No sides are the same (equal) length. 9 7 2 9 7 2
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Classifying Triangles Right triangle One angle is a right (90°) angle. The sides have special names. The legs are the two sides that form a right triangle The third side is the hypotenuse legs hypotenuse
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Classifying Triangles Acute triangle All three angles are acute angles.
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Classifying Triangles Obtuse triangle One angle is an obtuse angle.
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CLASSIFYING QUADRILATERALS
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Classifying Quadrilaterals How do you classify quadrilaterals? Quadrilaterals can be classified by their angles pairs of sides. Remember that a quadrilateral is any polygon with 4 sides.
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Classifying Quadrilaterals Types of quadrilaterals? Parallelogram Rectangle RhombusSquareTrapezoid
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Classifying Quadrilaterals Parallelogram A quadrilateral with both pairs of opposite sides parallel equal in length. Parallelogram RectangleRhombus Square
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Classifying Quadrilaterals Rectangle A parallelogram with four right (90°) angles. Rectangle Rectangles & rhombuses are special parallelograms. Square
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Classifying Quadrilaterals Rhombus A parallelogram with all sides the same length. Rhombus Rectangles & rhombuses are special parallelograms. Square
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Classifying Quadrilaterals Square A rectangle with all sides the same length. Square A square is a special rectangle. It is also a special rhombus.
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Classifying Quadrilaterals Trapezoid A quadrilateral with only one pair of parallel sides. Trapezoid A D C B side A ll side C side B ll side D
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Quadrilateral Videos ixl Classify Quadrilaterals
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You now know all about Plane Figures!
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