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GEOMETRY - PowerPoint PPT Presentation


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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.

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slide3

TRIcycle (3 wheels)

TRIlogy (3 books in the series)

(3 Horns)

quad means 4
“Quad” means 4

Quadrant – 4 sections

Quadriceps – 4 muscles

Quadruplets (4 babies)

pentagon
Pentagon
  • A pentagon is a 5-sided shape.
  • “Pent” means 5

Pentagram – 5 pointed star

U.S. Pentagon in Washington D.C.

hexagon
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
HEPTAGON
  • A heptagon is a 7-sided figure
  • “Hept” means 7

Heptadactyly– 7 fingers on 1 hand

Heptathlon – 7 event competition

octagon
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
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
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
Let’s review

PENTAGON

HEXAGON

heptagon

DECAGON

OCTAGON

NONAGON

let s classify
Let’s classify

Polygon

Quadrilateral

Trapezoid

Polygon

Quadrilateral

Parallelogram

let s classify1
Let’s classify

Polygon

Quadrilateral

Parallelogram

Rhombus

Polygon

Quadrilateral

Parallelogram

Rhombus

Rectangle

Square!

triangles
Triangles

A triangle has 3 sides and 3 angles

types of triangles based on how many sides and angles are equal
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
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
A triangle can have two names

isosceles right triangle

triangles1
Triangles

An equilateral triangle is always….

ACUTE

triangles2
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
Your turn!
  • Draw each of the following:
      • Right isosceles triangle
      • Obtuse scalene triangle
      • An acute equilateral triangle
slide23

Right isosceles triangle

2. Obtuse scalene triangle

3. Acute equilateral triangles