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SHAPES GEOMETRY TRIANGLE TRIANGLE – 3 SIDED SHAPE TRI MEANS 3 TRIcycle (3 wheels) TRIlogy (3 books in the series) (3 Horns) QUADRILATERAL A quadrilateral is a polygon with 4 sides. These are all quadrilaterals: “QUAD” MEANS 4 Quadriceps – 4 muscles Quadruplets (4 babies) Quadrant – 4 sections PENTAGON •A pentagon is a 5-sided shape. •“Pent” means 5 Pentagram – 5 pointed star U.S. Pentagon in Washington D.C. HEXAGON •A hexagon is a 6-sided shape •“Hex” means 6 Hexagram – 6-pointed star (Ask Jacob) HEX nut – six sided nut Hexapod – 6 feet HEPTAGON •A heptagon is a 7-sided figure •“Hept” means 7 Heptathlon – 7 event competition Heptadactyly– 7 fingers on 1 hand OCTAGON •An octagon is an 8 sided figure •“Octa” means 8 Octogenarian – a person who is in there 80’s Octopus – 8 legs Octamom! NONAGON •A nonagon is a 9-sided figure •From the Latin word “nonus” and the Greek word enneagonon, meaning 9 Enneagram – 9 personality types DECAGON •A decagon is a 10-sided shaped •“Deca” means 10 Decimal – base 10 number system Decade – 10 years Decathalon – 10 track and field events LET’S REVIEW CLASSIFYING QUADRILATERALS Quadrilateral – 4 sides, 4 angles, a type of polygon Rectangle – opposite sides are congruent; has 4 right angles Square – 4 congruent sides; 4 right angles Parallelogram – opposite sides are congruent and parallel Rhombus – 4 congruent sides; opposite sides are parallel Trapezoid – only 1 pair of parallel sides LET’S CLASSIFY Polygon Quadrilateral Trapezoid Polygon Quadrilateral Parallelogram LET’S CLASSIFY Polygon Quadrilateral Parallelogram Rhombus Polygon Quadrilateral Parallelogram Rhombus Rectangle Square! TRIANGLES A triangle has 3 sides and 3 angles TYPES OF TRIANGLES BASED ON HOW MANY SIDES AND ANGLES ARE EQUAL An EQUILATERAL triangle has 3 equal sides and 3 equal angles (always 60 degrees) An ISOSCELES triangle has 2 equal sides and 2 equal angles An SCALENE triangle has NO equal sides and NO equal angles TYPES OF TRIANGLES BASED ON TYPES OF ANGLES An ACUTE triangle is a triangle with ALL angles less than 90 degrees. A RIGHT triangle is a triangle with a 90 degree angle. An OBTUSE triangle is a triangle with an angle of more than 90 degrees. A TRIANGLE CAN HAVE TWO NAMES isosceles right triangle TRIANGLES An equilateral triangle is always…. ACUTE TRIANGLES In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or scalene. YOUR TURN! Draw each of the following: 1. Right isosceles triangle 2. Obtuse scalene triangle 3. An acute equilateral triangle 1. Right isosceles triangle 2. Obtuse scalene triangle 3. Acute equilateral triangles