(MK) – Shapes

Shapes

Shapes are the large portion of the mathematics branch of Geometry. Geometry covers mathematics problems regarding measurement, volume and areas of shapes. There are many, many shapes that are covered in geometry, we are going to look into the main shapes and how information is calculated when examining them.

 

Vocabulary

Note: Please, forgive me for the length, but necessary..

  • Acute angle – angle that measures less than 90 degrees
  • Angle - the meeting point of two lines
  • Area - space inside of a shape or the space taken up by an object
  • Circle - a round shape with edges equal distance from a central point
  • Decagon - ten sided polygon
  • Degree - unit of measurement for angles
  • Diameter - measurement across a circle from one edge to another, bisecting the center
  • Equilateral triangle – triangle with equal sides
  • Heptagon - seven sided polygon
  • Hexagon - six sided polygon
  • Isosceles triangle – triangle with two equal sides
  • Kite - a polygon with two distinctive pairs of parallel sides; measurements can differ
  • Obtuse angle – angle that measures greater than 90 degrees
  • Octagon - eight sided polygon
  • Pentagon - five sided polygon
  • PI - the ratio between the diameter and radius of a circle ( 3.14159265359 )
  • Polygon – the connection formed by at least 3 lines meeting together to create angles
  • Quadrilateral- a four sided polygon
  • Radius - measurement of distance from center of a circle to outer edge
  • Rectangle – four sided polygon with all right angles
  • Right Angle – an angle that measures 90 degrees
  • Square - four sided quadrilateral polygon with equal sides
  • Triangle - three sided polygon
  • Trapezoid - quadrilateral polygon with at least 2 sides that are parallel to each other
  • Volume - space inside a 3D object or space taken up by a 3D object

Types of Shapes

Triangle

  • Three sided polygon

  • Three angles (totaling 180 degrees)

  • Three types:

  • Equilateral Triangle3 equal sides & 3 equal angles

  • Isosceles Triangle -2 equal sides & 2 equal angles

  • Scalene Triangleno equal sides or angles

equilateral

EQUILATERAL

isosceles trianagle

ISOSCELES

Scalene Triangle

SCALENE

Square

  • Four sided polygon

  • Four equal angles (90 degrees)

  • Four equal sides

square

SQUARE

Pentagon

  • Five sided polygon

  • Five equal angles (108 degrees)

  • Five equal sides

pentagon-asvab-scores

PENTAGON

Hexagon

  • Six sided polygon

  • Six equal angles (120 degrees)

  • Six equal sides

HEXAGON-ASVAB-SCORES

HEXAGON

Heptagon

  • Seven sided polygon

  • Seven equal angles ( approx 128 degrees)

  • Seven equal sides

heptagon-asvab-scores

HEPTAGON

Octagon

  • Eight sided polygon

  • Eight equal angles (135 degrees)

  • Eight equal sides

octogon-asvab-scores

OCTOGON

 

If you have any questions please comment and good luck on your studying for the ASVAB exam!

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