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!Polygons!. http://www.brainpop.com/math/geometryandmeasurement/polygons/. Let’s Review- What is a polygon?. Polygons are many-sided figures With sides that are line segments Named according to the number of sides and angles they have.
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!Polygons! http://www.brainpop.com/math/geometryandmeasurement/polygons/
Let’s Review-What is a polygon? • Polygons are many-sided figures • With sides that are line segments • Named according to the number of sides and angles they have. • Can be “regular” – all sides and all angles are equal to each other
Polygons These figures arenot polygons These figures are polygons
Polygon Names Triangle 3 sides 4 sides Quadrilateral 5 sides Pentagon 6 sides Hexagon 7 sides Heptagon 8 sides Octagon 9 sides Nonagon 10 sides Decagon Dodecagon 12 sides n sides n-gon
Parallel Lines • Two lines are parallel if they are on the same plane and never intersect. • Plane- flat surface. • Intersect – means never touch. Parallel Lines Not Parallel
QUADRILATERAL • A QUADRILATERAL is a closed figure with four sides and four angles. • They are named based on their sides and angles.
The sum of the angles of all quadrilaterals is 360°. • Angle 1 + angle 2+ angle 3 + angle 4 = 360° 360°
Parallelogram • A QUADRILATERAL with opposite sides parallel and opposite sides congruent
Rectangle • A rectangle is • QUADRILATERAL – 4 sides • PARALLELOGRAM – opposite sides are parallel • All angles are right
SQUARE • A square is a • QUADRILATERAL – 4 sides • PARALLELOGRAM – opposite sides are parallel • All sides are congruent • All angles are right
RHOMBUS • A rhombus is a • QUADRILATERAL – 4 sides • PARALLELOGRAM – opposite sides are parallel • All sides are congruent • Opposite angles congruent
TRAPEZOID • A trapezoid is a • QUADRILATERAL – 4 sides • Exactly one pair of parallel sides Parallel lines
Kite • A kite is a • QUADRILATERAL – 4 sides • With no parallel sides • 2 pairs of adjacent congruent sides 4 in. 2 in. 2 in. 4 in.
Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid
A quadrilateral simply has 4 sides – no other special requirements. Quadrilateral 2 pairs of parallel lines 1 pair of parallel lines 2 pairs of adjacent congruent lines Parallelogram Trapezoid 4 congruent sides 4 right angles A trapezoid has only one pair of parallel sides. A parallelogram has two pairs of parallel sides. Kite Rhombus Rectangle An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides. 4 congruent sides and 4 right angles A rectangle has four right angles. A rhombus is a parallelogram that has four congruent sides. A square is a specific case of both a rhombus AND a rectangle, having four right angles and 4 congruent sides. Square
Best Name: Trapezoid
Best Name: Square This quadrilateral is also: • a rectangle • a rhombus • a parallelogram
Best Name: Rhombus This quadrilateral is also: • a parallelogram
Best Name: Quadrilateral
Best Name: Rectangle This quadrilateral is also: • a parallelogram
Best Name: Parallelogram
Best Name: Trapezoid
Best Name: Quadrilateral
Best Name: Parallelogram
Best Name: Trapezoid
Best Name: Rectangle This quadrilateral is also: • a parallelogram
Best Name: Rhombus This quadrilateral is also: • a parallelogram
Best Name: Square This quadrilateral is also: • a rectangle • a rhombus • a parallelogram