The document provides examples of various geometric shapes found in architecture around the world and defines each shape. It begins by using the Capital Building to represent a point and the Empire State Building to represent a line segment. It then discusses planes, angles, perpendicular and parallel lines using various buildings as examples. The summary concludes with triangles, right triangles, polygons up to hexagons, and three-dimensional shapes including cubes, cylinders, spheres, and polyhedrons being represented by different architectural structures.

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

2. Point The circled object is the Capital Building in Washington D.C. It is like a point on the plane of Washington D.C. A point is an undefined term in geometry. It names a location and has no size.

3. Line (Segment) The Empire State Building in NYC, New York is like a line segment because it is a straight line and has two distinct ending points. A line segment is another undefined geometry term. A straight line that has no thickness and has two distinct ending points.

4. Plane The flat roof of the New England, Massachusetts home is like a plane. A plane is also an undefined geometry term. It is a flat surface that has no thickness and could extend forever.

5. Angle The Emporia Armani Building in Manchester forms the circled angle on the picture to the left. An angle is a figure formed by two rays with a common endpoint.

6. Perpendicular Lines The Beauchamp Chapel in Warwick forms perpendicular lines because it’s tower intersects it’s building to form a 90 degree angle! Perpendicular lines are lines that intersect to form a 90 degree angle, or a right angle.

7. Parallel Lines The Twin Towers formerly in NYC, New York, are parallel lines. Parallel lines are lines in the same plane that do not intersect.

8. Triangle The Flatiron Building in NYC, New York has a triangular top. A triangle is a three-sided polygon.

9. Right Triangle The blue building in this picture is a right triangle. A right triangle is a triangle in which there is an angle which measures 90 degrees.

10. Pentagon The Pentagon in Washington D.C. is a pentagon. A pentagon is a five sided polygon.

11. Hexagon The semi-blue building at VIT University is a hexagon. A hexagon is a six-sided polygon.

12. Square The St. Andrew Square Building in Scotland looks like a square in the front. A square is a quadrilateral with four congruent sides and four right angles.

13. Rectangle The tall, skinny building in this picture of Tokyo, Japan is a rectangle. A rectangle is a quadrilateral with four right angles.

14. Trapezoid In a walkway above St. Thames St. in London, there is a trapezoid-shaped window! A trapezoid is a quadrilateral with exactly one pair of parallel sides.

15. Parallelogram The Circled part of the Kirby Building in Dallas, Texas is a parallelogram! A parallelogram is a quadrilateral with two pairs of parallel sides.

16. Circle The Louisiana Superdome in New Orleans, Louisiana. A circle is a set of points in a plane that are fixed distance from a given point called the center of a circle.

17. Cylinder The Nehru Centre in Mumbai, India is a Cylinder. A cylinder is a three-dimensional figure with two parallel congruent circular bases and a curved lateral surface that connects the bases.

18. Sphere Spaceship Earth at Disney World Epcot in Orlando, Florida is a sphere. A sphere is the set of points in a space that are a fixed distance from a given point called the center of the sphere.

19. Quadrilateral This gloomy looking building is a quadrilateral. A quadrilateral is a four-sided polygon.

20. Cube The Ellicot Square building in Buffalo, New York is a cube. A cube is a prism with six faces.

21. Polyhedron This tiny house in Bogota, Colombia is shaped like a polyhedron. A polyhedron is a closed three-dimensional figure formed by four or more polygons that intersect only at their edges.