Geometry In The Real World

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Geometry in the Real World Geometry in the Real World Architecture Architecture By Carson Campbell By Carson Campbell Period 2 Period 2 Mrs. Sykes Mrs. Sykes

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Pre-AP Geometry Project Due Dec. 11 Uploaded Dec. 6

Transcript of Geometry In The Real World

Page 1: Geometry In The Real World

Geometry in the Real WorldGeometry in the Real World

ArchitectureArchitecture

By Carson Campbell By Carson Campbell

Period 2Period 2 Mrs. SykesMrs. Sykes

Page 2: Geometry In The Real World

PointPoint

The circled object is the The circled object is the Capital Building in Washington Capital Building in Washington D.C. It is like a point on the D.C. It is like a point on the plane of Washington D.C.plane of Washington D.C.

A point is an undefined term in A point is an undefined term in geometry. It names a location geometry. It names a location and has no size. and has no size.

Page 3: Geometry In The Real World

Line (Segment)Line (Segment)

The Empire State Building in The Empire State Building in NYC, New York is like a line NYC, New York is like a line segment because it is a segment because it is a straight line and has two straight line and has two distinct ending points.distinct ending points.

A line segment is another A line segment is another undefined geometry term. A undefined geometry term. A straight line that has no straight line that has no thickness and has two distinct thickness and has two distinct ending points.ending points.

Page 4: Geometry In The Real World

PlanePlane

The flat roof of the New The flat roof of the New England, Massachusetts home England, Massachusetts home is like a plane.is like a plane.

A plane is also an undefined A plane is also an undefined geometry term. It is a flat geometry term. It is a flat surface that has no thickness surface that has no thickness and could extend forever.and could extend forever.

Page 5: Geometry In The Real World

AngleAngle

The Emporia Armani Building The Emporia Armani Building in Manchester forms the in Manchester forms the circled angle on the picture to circled angle on the picture to the left.the left.

An angle is a figure formed by An angle is a figure formed by two rays with a common two rays with a common endpoint.endpoint.

Page 6: Geometry In The Real World

Perpendicular LinesPerpendicular Lines

The Beauchamp Chapel in The Beauchamp Chapel in Warwick forms perpendicular Warwick forms perpendicular lines because it’s tower lines because it’s tower intersects it’s building to form a intersects it’s building to form a 90 degree angle!90 degree angle!

Perpendicular lines are lines Perpendicular lines are lines that intersect to form a 90 that intersect to form a 90 degree angle, or a right angle.degree angle, or a right angle.

Page 7: Geometry In The Real World

Parallel LinesParallel Lines

The Twin Towers The Twin Towers formerly in NYC, New formerly in NYC, New York, are parallel lines.York, are parallel lines.

Parallel lines are lines in Parallel lines are lines in the same plane that do the same plane that do not intersect.not intersect.

Page 8: Geometry In The Real World

TriangleTriangle

The Flatiron Building in The Flatiron Building in NYC, New York has a NYC, New York has a triangular top.triangular top.

A triangle is a three-sided A triangle is a three-sided polygon.polygon.

Page 9: Geometry In The Real World

Right TriangleRight Triangle

The blue building in this picture The blue building in this picture is a right triangle.is a right triangle.

A right triangle is a triangle in A right triangle is a triangle in which there is an angle which which there is an angle which measures 90 degrees.measures 90 degrees.

Page 10: Geometry In The Real World

PentagonPentagon

The Pentagon in The Pentagon in Washington D.C. is a Washington D.C. is a pentagon.pentagon.

A pentagon is a five sided A pentagon is a five sided polygon.polygon.

Page 11: Geometry In The Real World

HexagonHexagon

The semi-blue building at The semi-blue building at VIT University is a VIT University is a hexagon.hexagon.

A hexagon is a six-sided A hexagon is a six-sided polygon.polygon.

Page 12: Geometry In The Real World

SquareSquare

The St. Andrew Square The St. Andrew Square Building in Scotland looks like Building in Scotland looks like a square in the front.a square in the front.

A square is a quadrilateral with A square is a quadrilateral with four congruent sides and four four congruent sides and four right angles.right angles.

Page 13: Geometry In The Real World

RectangleRectangle

The tall, skinny building in The tall, skinny building in this picture of Tokyo, this picture of Tokyo, Japan is a rectangle.Japan is a rectangle.

A rectangle is a A rectangle is a quadrilateral with four quadrilateral with four right angles.right angles.

Page 14: Geometry In The Real World

TrapezoidTrapezoid

In a walkway above St. In a walkway above St. Thames St. in London, there is Thames St. in London, there is a trapezoid-shaped window!a trapezoid-shaped window!

A trapezoid is a quadrilateral A trapezoid is a quadrilateral with exactly one pair of parallel with exactly one pair of parallel sides.sides.

Page 15: Geometry In The Real World

ParallelogramParallelogram

The Circled part of the The Circled part of the Kirby Building in Dallas, Kirby Building in Dallas, Texas is a parallelogram!Texas is a parallelogram!

A parallelogram is a A parallelogram is a quadrilateral with two quadrilateral with two pairs of parallel sides.pairs of parallel sides.

Page 16: Geometry In The Real World

CircleCircle

The Louisiana Superdome in The Louisiana Superdome in New Orleans, Louisiana.New Orleans, Louisiana.

A circle is a set of points in a A circle is a set of points in a plane that are fixed distance plane that are fixed distance from a given point called the from a given point called the center of a circle.center of a circle.

Page 17: Geometry In The Real World

CylinderCylinder

The Nehru Centre in Mumbai, The Nehru Centre in Mumbai, India is a Cylinder.India is a Cylinder.

A cylinder is a three-A cylinder is a three-dimensional figure with two dimensional figure with two parallel congruent circular parallel congruent circular bases and a curved lateral bases and a curved lateral surface that connects the surface that connects the bases.bases.

Page 18: Geometry In The Real World

SphereSphere

Spaceship Earth at Disney Spaceship Earth at Disney World Epcot in Orlando, World Epcot in Orlando, Florida is a sphere.Florida is a sphere.

A sphere is the set of points in A sphere is the set of points in a space that are a fixed a space that are a fixed distance from a given point distance from a given point called the center of the sphere.called the center of the sphere.

Page 19: Geometry In The Real World

QuadrilateralQuadrilateral

This gloomy looking building is This gloomy looking building is a quadrilateral.a quadrilateral.

A quadrilateral is a four-sided A quadrilateral is a four-sided polygon.polygon.

Page 20: Geometry In The Real World

CubeCube

The Ellicot Square The Ellicot Square building in Buffalo, New building in Buffalo, New York is a cube.York is a cube.

A cube is a prism with six A cube is a prism with six faces.faces.

Page 21: Geometry In The Real World

PolyhedronPolyhedron

This tiny house in Bogota, This tiny house in Bogota, Colombia is shaped like a Colombia is shaped like a polyhedron.polyhedron.

A polyhedron is a closed three-A polyhedron is a closed three-dimensional figure formed by dimensional figure formed by four or more polygons that four or more polygons that intersect only at their edges.intersect only at their edges.