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## GEOMETRY

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**SHAPES**GEOMETRY**TRIANGLE – 3 SIDED SHAPE**TRI MEANS 3 TRIANGLE**TRIcycle (3 wheels)**TRIlogy (3 books in the series) (3 Horns)**A quadrilateral is a polygon with 4 sides.**These are all quadrilaterals: QUADRILATERAL**“Quad” means 4**Quadrant – 4 sections Quadriceps – 4 muscles Quadruplets (4 babies)**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 (Ask Jacob) Hexagram – 6-pointed star HEX nut – six sided nut Hexapod – 6 feet**HEPTAGON**• A heptagon is a 7-sided figure • “Hept” means 7 Heptadactyly– 7 fingers on 1 hand Heptathlon – 7 event competition**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**PENTAGON HEXAGON heptagon DECAGON OCTAGON NONAGON**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: • Right isosceles triangle • Obtuse scalene triangle • An acute equilateral triangle**Right isosceles triangle**2. Obtuse scalene triangle 3. Acute equilateral triangles