Geometry Scavenger Hunt

1. Geometry Scavenger Hunt ELED 4315: Mathematics Methods Pasadena ISD Quest 2: Spring 2006 Amber M. Gonzales Brenda Garcia Lizette DeLeon

2. Point A Geometric figure formed at the intersection of two distinct points This spider web was found on the internet, and shows how a point can be seen occurring naturally in nature. The spider began its web from one central place of origin. Nature This Christmas star was found from an Internet sight, and displays a man-made point. All of the strands formed from one point of origin. This is a textbook example of how a point can be described. Textbook Example Man-Made Textbook Example

3. Parallel Lines A Parallel lines are two distinct coplanar lines that do not intersect. Parallel lines have the same slope. These tall trees represent a set of parallel lines occurring naturally in nature. The two trees have the same slope, but never intersect. The picture was found on Freefoto.com Nature This is how parallel lines would be shown in a text book. This example was found on the internet. These rail road tracks display a parallel line that is man made. The two tracks are the same, but never intersect. I found this picture from an Internet source. Man-Made Textbook Example

4. Pythagorean Triple The sides of a right triangle. The sum of the squares of the legs of the right triangle is equal to the square of the hypotenuse. The bill on this ducks beak makes a natural occurring Pythagorean triple. The photo was found on the internet. Nature This bridge has Pythagorean triples in the support beam found along the length of the bridge. The picture was found on the internet. This is an example of a Pythagorean triple found in a text book, the legs of the triangles squared are equal to the square of the hypotenuse Textbook Example Man-Made

5. Fractal A figure that is self-similar. That is, no matter how far you zoom in on the figure, the portion you look at is similar to the original figure. This natural fractal is a fern leave, it was found on the internet at FreeFoto.com This fractal was found on the internet at a site which produces new fractals daily. Nature This Text book example shows that all the sides of the figure are similar. This picture was found on the internet via Mathwords.com Textbook Example Man-Made

6. Oval An egg-shaped curve. An oval is denoted by one end being wider than the other end. An oval is not the same as an ellipse. This egg is wider at one end than it is at the other end therefore forming a naturally occurring oval. This picture was found on the internet. Nature This mask is shaped like an oval it was found on the internet and is apart of a larger picture. This picture is a classic example of what an oval looks like inside a textbook. It was found on Mathwork.com Textbook Example Man-Made

7. Congruent Items Exactly equal in size and shape. Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent. This flower has congruent petals. Each bell shaped petal is exactly the same in both size and shape. These colored pencil vary in color, but are exactly the same in size and shape. This picture was found on the internet. This textbook example shows how each side is exactly the same in size and shape. Even though they differ in direction Nature Textbook Example Man-Made

8. Ray A part of a line starting at a particular point and extending infinitely in one direction. This is a picture of an underwater sun glare. The glare from the sun created blue rays of light from underneath the ocean. This picture was found online at Image*after.com Nature The light from these theatrical lights produces rays. The light is made different colors by using filters. This picture was found on the internet. This is an example of a ray found in an online mathematical dictionary. Textbook Example Man-Made

9. The outline of this starfish is in the shape of a pentagon. This image was found on the internet. Nature This pentagon is an example of what a five sided-polygon is described as in a textbook. This example was found online. The front of this building displays a pentagon shape. This picture was found on the internet. Man-Made Textbook Example

10. Ellipse A conic section which is essentially a stretched circle. Formally, an ellipse can be defined as follows: For two given points, the foci, an ellipse is the locus of points such that the sum of the distance to each focus is constant. These tadpoles are in the shape of ellipses. Their bodies appear to resemble a stretched circle. This picture was found on the internet. Nature This is a picture of a house that is being built. The structure is in the shape of an ellipse. The picture was found on the internet. This is an example from a textbook. The picture was found online at Mathwords.com Man-Made Textbook Example

11. 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. These crystals have naturally formed to form many different prisms. The highlighted prism is a triangular prism. This picture was found on the internet. Nature This is an example of a prism found in a textbook online. The top of this house depicts a triangular prism. The picture was found in the internet via Image*after.com Man-Made Textbook Example

12. Line A line is the straight path connecting two points and extending beyond the points in both directions. This picture shows a line made by nature in the vein of a leaf. This picture was taken at the University of Houston. Nature This picture shows a line that is man made. This picture was taken in my neighborhood. This is a textbook example of a line. This picture was found on the internet. Textbook Example Man-Made

13. Transversal A line that crosses two or more lines. This picture shows an example of a transversal line crossing other lines. This picture was taken in my yard. Nature This is a textbook example of a transversal line crossing two parallel lines. This picture was found on the internet. This picture shows a transversal line crossing other lines on a building. It was taken at the University of Houston. Man-Made Textbook Example

14. Quadrilateral A polygon with 4 sides, such as a square, rectangle, and trapezoid. This picture shows a quadrilateral created by two trees and their branches. This picture was taken at the University of Houston. Nature This is a textbook example of two quadrilaterals. This picture was found on the internet. This picture shows a quadrilateral that is man made. This picture was taken in my neighborhood. Mad-Made Textbook Example

15. Similar Items Figures that have the same shape but not necessarily the same size This picture shows two flowers that are similar but one flower is larger than the other. This picture was taken in my yard. Nature This is a textbook example of similar items. This picture was found on the internet. This picture shows two boxes of paperclips that are similar but one is larger than the other. This picture was taken at the University of Houston CITE Lab. Man-Made Textbook Example

16. Cylinder A three dimensional object with two parallel, congruent, and circular bases. This picture shows the truck of a palm tree as a cylinder. This picture was taken at the University of Houston. Nature This picture shows a trash can as a cylinder that is man made. This picture was taken at the University of Houston. This is a textbook example of a cylinder. This picture was found on the internet. Textbook Example Man-Made

17. Sphere The set of all points in space that are equidistant from a fixed point, called the center. It is a ball shape, like a basketball or a soccer ball. This picture is of the Earth. It is an example of a sphere. This picture was found on the internet. Nature This picture is an example of a man made sphere. This picture was found on clipart. This is a textbook example of a sphere. This picture was found on the internet. Man-Made Textbook Example

18. Intersecting Lines Two lines that cross each other. Lines intersect at one point unless the lines fall directly on top of each other. This picture shows intersecting lines created by a branch and a big leaf. This picture was taken at the University of Houston. Nature This is a textbook example of intersecting lines. This picture was found on the internet. This picture shows a man made example of intersecting lines on a building. This picture was taken at the University of Houston. Man-Made Textbook Example

19. Angle An angle is represented by two line segments or two rays that have a common endpoint. This picture shows 3 angles that were created by the tree. This picture was taken at the University of Houston. Nature This picture shows 3 angles created by the walls of a building. This picture was taken at the University of Houston. This is a textbook example of an angle. This picture was found on the internet. Man-Made Textbook Example

20. Chord A line segment that joins two points on the circumference of circle This picture shows a chord created by a shadow and the lines on the floor. This picture was taken at the University of Houston. Nature This is a textbook example of a chord. This picture was found on the internet. This picture shows an antennae creating a chord with the pole. This picture was taken in my home. Man-Made Textbook Example

21. Tangent A line that touches a curve at a point without crossing over. This picture shows a tangent created by two branches. This picture was taken at the University of Houston. Nature This is a textbook example of a chord. This picture was found on the internet. This picture shows a tangent created by metal poles. This picture was taken at my home. Man-Made Textbook Example

22. Parallel lines cut by a perpendicular transversal Two lines are parallel if they lie in the same plane and they do not intersect. These two lines are perpendicular if they are intersected by a transversal at a right angle. This picture shows a tree intersecting the hedge and the ground at a right angle. This picture was found on the internet. Nature This is a textbook example of parallel lines being cut by a perpendicular transversal. This picture was found on the internet. This picture shows two poles being intersected by another two poles at a right angle. This picture was taken at the University of Houston. Man-Made Textbook Example

23. Parallel lines cut by a non-perpendicular transversal Two lines are parallel if they lie in the same plane and they do not intersect. These lines are cut by a transversal line at a less than 90 degree angle. This picture shows two branches cut by a non-perpendicular branch. This picture was taken in my neighborhood. Nature This is a textbook example of parallel lines being cut by a non-perpendicular transversal. This picture was found on the internet. This picture shows a staircase cut by a non-perpendicular rail. This picture was taken at the University of Houston. Textbook Example Man-Made

24. Plane A flat surface extending in all directions. This picture shows a plane sunset from the internet. Courtesy of www.cs.brown.edu Nature This picture of a table depicts a flat surface on top. Courtesy of www.amishpride.com This is an example of a plane in a text book from the internet. Textbook Example Man-Made

25. Triangle A polygon with three sides. The picture of this crocodile coming out of the water Nature This textbook picture was found on the internet and is of a triangle. This picture of a sign is considered to be man-made and was found on the internet. Courtesy of pics4learning.com Textbook Example Man-Made

26. Circle The locus of all points that are a fixed distance from a given point This is a picture of a sand dollar which is in a shape of a circle. It was found on the internet. Courtesy of sanddollarroofing.com Nature This picture of a door knob shows the shape of a circle and was found on the web. This textbook picture was created by me on Auto shapes. Man-Made Textbook Example

27. CubeA regular polyhedron for which all faces are squares. Note: It is one of the five platonic solids. This is a picture of a mineral found on the internet. Courtesy of www.harbinger-me.com Nature Textbook picture of cube found on the internet. A picture of an ice cube taken off the internet. Textbook Example Man-Made

28. Square A rectangle with all four sides of equal length. Turtle peeking out of his shell, picture from the internet. Nature Textbook picture of square from internet. Courtesy of www.mathwords.com Picture of a cracker taken from the internet. Textbook Example Man-Made

29. Cone A three dimensional figure with a single base tapering to an apex. The base can be any simple closed curve. This pine cone is nature made and was from the internet. www.northshorevisitor.com Nature Textbook example of a cone from the internet. Courtesy of www.intermath-uga.gatech.edu A sugar cone is man made and was taken from the internet. Courtesy of www.hormel.com Man-Made Textbook Example

30. Parabola A u-shaped curve with certain specific properties Picture of nature presenting a parabola taken from internet. www.chicagodesignhouse.com/.../pages/face.htm Nature Picture of a McDonalds sign off of internet. Textbook parabola from internet. imnh.isu.edu/digitalatlas/teach/chart.htm Textbook Example Man-Made

31. Pyramid A polyhedron with a polygonal base and lateral faces that taper to an apex. Picture of Balls Pyramid shows nature pyramid. Courtesy of www.deh.gov.au Nature The top of this building has a man-made pyramid. The picture was found on the internet. This is an example of a pyramid picture in a text book. Courtesy of Mathwords.com Man-Made Textbook Example

32. Arc The length of a curve or line. A connected section of the circumference of a circle. This picture is of a horizon flare. It was from the internet. Courtesy of www.solarvoyager.com Nature This is a man-made picture of an arc on a globe. This picture was taken at Garfield Elementary. This is a textbook example of a cone. Textbook Example Man-Made

33. Resources: • Nature and Man-Made Pictures: • www.windows.ucar.edu/windows.html • www.freefoto.com • http://sprott.physics.wisc.edu/fractals.htm • http://www.imageafter.com/ • Microsoft Clipart • www.beautyanalysis.com/ images/Graphic_b-24.jpg • www.hajicek.com/Utah.htm • All textbook examples and definitions were found at: • www.mathwords.com • www.intermath-uga.gatech.edu/dictnary/homepg.asp • www.amathsdictionaryforkids.com