QUEST Geometry Scavenger Hunt

1. QUEST Geometry Scavenger Hunt Team Members: • Rena Liu • Rose Palomares • Houng Tran • Loida Cruz

2. Point A point specifies only location. • Textbook Nature: This mountain in Switzerland is the point of this picture. Man-made: The sunset is the point in this painting because it specifies location.

3. Pythagorean Triple A Pythagorean triple is a triple of positive integers a, b, and c and such that a right triangle exists with legs a, b and hypotenuse c. By the Pythagorean theorem, this is equivalent to finding positive integers and a, b, and c satisfying. c2 = a2 + b2 Nature: Part of the mountain is a pythagorean triple. Textbook Man-made: The bridge on the wires connecting forms a pythagorean triple.

4. Parallel Lines Parallel lines are coplanar lines that do not intersect.  Nature: Bamboo trees were found in Japan growing along side each other without intersecting. Man-made: Parallel Wooden Planks- wooden boards run parallel along side each other to form a wooden platform such as a deck. Textbook

5. A fractal is a rough or fragmentedgeometric shape that can be subdivided in parts, each of which is (at least approximately) a smaller copy of the whole. Fractal Nature: A cabbage is an example of a fractal because each subdivided part is a smaller copy of the whole. Textbook Man-made: This is a computer- generated fractal of a dragon.

6. Oval Having the figure of an egg; oblong and curvilinear, with one end broader than the other. Nature: An egg has one end wider than the other like the oval. Man-made: The shape of this oil and vinegar container is the shape of an oval. This picture was found on the Internet. Textbook

7. Congruent Items Two or more items that are exactly the same size and shape. Textbook Man-made: Oreo cookies are the same size and shape. Nature: The petals of this Gerbera Daisy are the same shape and size.

8. Ray A thin line or narrow beam of light or other radiant energy. Nature: In nature, the light ray shines from the sky. The sun ray shines a thin and narrow beam of light. Textbook Man-made: Strobe light and disco lights are man-made rays. These rays are thin beams of light. This ray is located in a club.

9. A polygon having five sides and five interior angles. Pentagon Nature: This diamond has five sides which makes it a pentagon. Man-made: This pentagon is a building located in Washington, D.C. Textbook

10. Ellipse An ellipse is essentially a circle that has been stretched out of shape. Nature: This Sowbug beetle is the shape of a circle that has been stretched and is easily found under rocks. Textbook Man-made: This mirror has both ends the same size making it an ellipse.

11. A solid figure that has two parallel, congruent sides, called bases. A prism is named by the shape of its bases. Rectangular prism has rectangular bases and a prism with triangle shaped bases is a triangularprism. Prism Textbook Man-made: This is a triangular prism hand made from beveled glass and filled with shells for decoration. This glass box was found on the internet for sale. Nature: This is an ice shard from Lake Superior that has been shaped into a triangular prism shape by nature.

12. Line A geometric figure formed by a point moving along a fixed direction and the reverse direction. Textbook Nature: There are lines on the mountain. The lines on the mountain are moving in a fixed direction and the reverse direction. Man-made: This is a wall paper. There are many lines moving in reverse and fixed direction.

13. Transversal • A line that intersects a system of other lines. Nature: Blood supply to the retina is an example of a transversal because the veins are intersecting each other. Textbook Man-made: This transversal was found in a gate. The gate is a transversal because there is are horizontal lines intersecting the vertical lines.

14. Quadrilateral A plane figure having four sides. Nature: The shape of the leaves on this fern is plane and has four sides. Textbook Man-made: This cabinet door is an example of a quadrilateral.

15. Similar Items Figures that have the same shape are called similar figures. Two geometrical objects are called similar if one is congruent to the result of enlarging or shrinking of the other. Nature: The seashells in this photo have the same shape although they are small, medium and large. Man-made: These gift bags are the similar shapes however are scaled down to size. Textbook

16. The surface generated by a straight line intersecting and moving along a closed plane curve, the directrix, while remaining parallel to a fixed straight line that is not on or parallel to the plane of the directrix. Cylinder Nature: In nature, tree trunks are of cylinder shape. The tree trunk surface is generated by a straight line intersecting and moving along a close plane. Textbook Man-made: The soda can has a cylinder shape. The can is generated by a straight line intersecting and moving along a closed plane.

17. A three-dimensional surface, all points of which are equidistant from a fixed point. Sphere Nature: The planet Earth is an example of a sphere because it is three-dimensional, and all points are equidistant from a fixed point. Textbook Man-made: This basketball is the shape of a sphere.

18. Intersecting Lines Lines that intersect.  Nature: This dip-slip fault found on a hill has intersecting lines. Man-made: This street intersection is an example of intersecting lines. Textbook

19. Angle Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. Textbook Man-made: The angle in this photo is the roof top of the restaurant. Nature: The ducks webbed feet have angles.

20. Chord A line segment that joins two points on a curve. Nature: In nature, a half moon has a line segment joining two points on a curve. Man-made: A half slice pizza is a chord. The pizza has a line segment joining two points on a curve. Textbook

21. Tangent Making contact at a single point or along a line; touching but not intersecting. Nature: The light pole that fell next to the other light pole is an example of a tangent. The poles are touching, but not intersecting. Man-made: Bathroom tiles are example of tangents because the tiles are touching, but not intersecting. Textbook

22. Plane A surface containing all the straight lines that connect any two points on it. Nature: This plateau in the Grand Canyon has a flat surface like a plane. Man-made: The glass surface of this table is a plane. Textbook

23. Triangle A triangle is a polygon with three sides. There are triangles of different shapes and sizes. Nature: The head of this preying mantis is triangular. Textbook Man-made The triangles in this photo are the sails of the sailboats.

24. Circle A plane curve everywhere equidistant from a given fixed point, the center. Nature: In the ocean, a circle of fish swam around a diver. The fish swam in a plane curve from a given point. Textbook Man Made: This piece of art work is located in a museum. The art work forms a circle by having a curve plan everywhere from the center.

25. A regular solid having six congruent square faces. Cube Nature: Fluorite is a natural, cube-like shaped crystal. Textbook Man-made: A rubix cube is an example of a cube because all six faces are congruent.

26. Square A plane figure having four equal sides. Nature: This is an example of a ruby because it has four equal sides. Textbook Man-made: Its four equal sides make this tile a square.

27. Cone A cone is a pyramid with a circular base where the point or vertex is directly above the center of the circle. Textbook Man-made: This megaphone is cone shaped with a circular base and a vertex in the center. Nature: This tornado is cone shaped with a vertex in the center of the circular base.

28. Parabola A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the cone or by the locus of points equidistant from a fixed line and a fixed point not on the line. Nature: Located in your mouth, teeth are parabolas. Teeth are parabola because the curve of the teeth forms by the intersection of a right circular cone. Textbook Man-made: This building is located in a city. The building has a parabola shape. The building has a curve and the plane is parallel.

29. Arc A segment of a circle. Nature: The Grand Canyon is a example of an arc because the bridge is shaped like a segment of a circle. Textbook Man-made: This arc can be found in St. Louis, Missouri.

30. Pyramid A polyhedron having for its base a polygon and for faces triangles with a common vertex. Nature: This rock got its name since its shape is an almost perfect pyramid. It was created when the flank of the hill was blasted away to make way for the road and is found in the Tehachapi Mountains in California. Man-made: The base of this pyramid is a square with four triangles as its sides. Textbook

31. Parallel Lines cut bya perpendicular transversal Parallel lines are coplanar lines that do not intersect. A transversal, or a line that intersects two or more coplanar lines, each at a different point creating a right angle making the transversal perpendicular. Nature: The spider web shows several parallel lines that are intersected by perpendicular transversals forming right angels. Man-made: Pole intersects two parallel rails perpendicularly to support the railings. Textbook

32. Parallel Lines cut by a non-perpendicular transversal Parallel lies are coplanar lines that do not intersect. A transversal, or a line that intersects two or more coplanar lines, each at a different point creating an angle other then a right angle. Nature: Located in a grassy area, plants may form parallel lines that are cut by non-perpendicular transversal. Man-made: A fence, located in the urban area has a parallel lines that cut by a non-perpendicular transversal. Textbook

33. References • http://www.images.andale.com/f2/103/121/15844240/1115393 • http://www.ski-zermatt.com • http://www.cloisterroom.com/paintings/amsterdam-sunset.jpg • http://mtp.jpl.nasa.gov/images/pemtb/f21.GIF • http://www.grandcanyontrust.org/press/photo_gallery/albums/kane_ranch/Paria_River_and_Platea_Smal.jpg • http://harlanemil.com/images/furniture-pix/rhombus%20reef.jpg • http://www.nutone.com/images-prod-large/AVDORPN-l.jpg • www.gpc.edu/~janderso/images/faults.jpg • www.commongroundpottery.com • www.gbcnet.com/.../99_pics/99_pyramid2.jpg • http://www.uncrate.com/men/images/oval-oil-vinegar-cruet.jpg • http://www.stulzphoto.com/images/Intersection.JPG • http://mathworld.wolfram.com/Plane.html • www.uptownmemphis.org/.../UpSqAerial.jpg • http://www.cnolle.com • http://www.planetmath.org • www.reeveco.com • www.lil-fingers.com • www.tallstories.org.uk • http://www.uky.edu/Ag/Entomology/entfacts/trees/ef406sow.gif • http://math.criced.tsukuba.ac.jp/museum/arcavi/arcavi_english/06Parallel-lines.html • www.eriding.net • www.charsfloraldesigns.com • www.foodsubs.com • http://www.cp.duluth.mn.us/~dohara/snapshot/iceart/ice9.jpg • http://www.pc-gallery.com/various/Judy_Koss/103.jpg

34. http://www.buzznet.com/buzzwords/shells/ • http://library.thinkquest.org/20991/geo/spoly.html • http://www.americasmart.com/exbdata/0012410/images/Gift%20Bags.jpg • http://www.photo.net/bboard/nw-fetch-msg?msgid=00EfRZ • http://www.mathleague.com/help/geometry/angles.htm • http://en.wikipedia.org/wiki/Whataburger • www.treknature.com • http://www.mathleague.com/help/geometry/polygons.htm • http://www.southalabama.edu/sailingclub/sailboat-racing.jpg • http://antwrp.gsfc.nasa.gov/apod/ap050613.html • http://www.tiscali.co.uk/reference/encyclopaedia/hutchinson/m0006655.html • http://www.sbbfc.co.uk/contact_us.asp • http://www.ransen.com/Repligator/Spider.htm • http://library.thinkquest.org/C006354/3_1.html • http://dp.ideasconsulting.com/dp/brianna/frames/exhib/midterm/bri_geom/geom_a1.html • http://images.google.com/images?q=tbn:2-ZS1qz4HoM4SM:http://www.okay.com/dunc/images • http://images.google.com/images?q=tbn:XqKh3oFoSFI1RM:mkeadle.org/uploads/0101 • http://www.thebondfamily.com/Bath%20Tile.JPG