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Geometry in the REAL World
Luke Campbell
Block Four
Star Wars
Point• a position in space
• Alderaan was the point in space where the line of the Death Star ray ended.
Line
• a straight set of points that extends off into infinity in both directions
• The line created by the Death Star continued on endlessly.
Plane
• a flat surfaces that stretches off into infinity
• The plane Tatoonie was a flat wasteland that seemed to stretch endlessly to the sky.
Angle
• the union of two rays with a common endpoint.
• When the lightsabers crashed, many angles were formed.
Perpendicular Lines
• two lines are perpendicular if the angle between them is 90 degees
• When Luke raised his lightsaber, two perpendicular lines were formed.
Parallel Lines
• two lines are parallel if they are in the same plane and never intersect
• As the Jedis stood ready for battle, their sabers were parallel to each other.
Triangle
• a three sided polygon
• When the enginers for the tie fighter designed the ship, the hexagonal wings were made with six triangular panels.
Right Triangle
• a triangle that contains a right angle
• When Luke brought his father a rectangular cake, it was divided into two right triangles symbolizing the two sides of the force.
Square
• a quadrilateral with four equal sides and four 90 degree angles
• The Imperial Class Star Destroyer II has an interior room shaped like a square.
Pentagon
• a five sided polygon
• The Tyridium Shuttle has a verticle fin which is in the shape of an irregular pentagon.
Hexagon
• a polygon with six sides
• The tie fighter’s wing is in the shape of a hexagon.
Rectangle
• a quadrilateral with four 90 degree angles
• Star Wars Turbo Tank Vehicle has several windows and doors in the shape of rectangles.
Trapezoid
• a quadrilateral that has exactly two sides parallel
• Out of his trapezoid shaped window, Darth Vader watched the dog fight in 3-D.
Parallelogram
• a quadrilateral with opposite sides parallel
• Many of the panels on the Millennium Falcon are parallelograms.
Circle
• the set of points in a plane that are a fixed distance from a given point
• Jedi Ship is suspended in a circular ring.
Cylinder
• the union of all line segments that connect corresponding points on congruent circles in parallel planes
• R2D2’s body is a cylinder.
Sphere
• the set of all points in space that are a fixed distance from a given point
• The Death Star is a sphere shaped space vehicle disguised as a small moon.
Cone
• the union of all line segments that connect a point and a closed curve in a different plane from the point
• General Grievous’ ship
Prism
• A solid with parallel congruent bases which are both polygons. The bases must be oriented identically. The lateral faces of a prism are all parallelograms or rectangles.
• Two of the Naboo roofs are trapezoidal prisms.
Decagon
• A polygon with 10 straight sides.
• The stain glass in the Jedi Temple has a star shaped decagon in the center.