GEOMETRY SCAVENGER HUNT

1. GEOMETRY SCAVENGER HUNT ELED 4315 Kristina Gregersen Blanca Hernandez Emily Locander Nelly Bonilla Ashley Rivera Mary Grajeswki SPRING 2008

2. A point has no length or width, it just specifies an exact location. • The picture of my foot shows my toe pointing to a spot on the carpet. • The hole in the ground specifies an exact location in the dirt. • A textbook would have a picture shown like the one above. Point

3. Parallel Lines • Parallel lines are two lines in the same plane which never intersect • The piano keys are parallel lines. • The two trees are an example of parallel lines found in nature. • A textbook would have a picture of parallel lines like the one to the left.

4. Pythagorean Triple • Pythagorean triple consists of positive integers. a^2+ b^2=c^2. • The picture to the left is of the San Francisco Bridge. It’s sides make a pythagorean triple. • The top picture is of tree shadows at the Outdoor Learning Center. It too makes a Pythagorean triple. • The textbook picture was the only one I found that made the most sense, and was the easies to look at and understand.

5. Fractal • A fractal is an object or quantity that displays self similarity, in a somewhat technical sense, on all scales. • The picture below is of a kleenex box. It has the same design over and over again, but facing a different direction, and different sizes. • The top picture is of a clover patch. These clovers are a repetition of a similar pattern. • The textbook image is much more complex than my images are, and is an example of fractal art.

6. A chord is geometric line segment whose endpoints both lie on a curve • The top photograph is a picture of me and my cousin. Our top lip is the chord, and our bottom lip is the curve. • The bottom picture shows the guitar string as the chord of the circular middle of the guitar. • The textbook would show an example of a chord like the one in the bottom corner. Chord

7. Cube Sea Salt • A cube is a 3 dimensional solid bound by 6 square faces. • The top picture is of a die. This is a common object that is a cube. • The hard to see picture to the left is sea salt. Salt is cubic in form. • The top picture is an example of a textbook illustration.

8. Ray • A ray is a straight line that starts in one point and extends forever in one direction • The picture to the right shows natural sun light rays on the ocean. • The bottom picture shows artificial rays made from a flaslight. • The textbook would have an example of rays like the picture in the bottom corner.

9. A Pentagon is a 5 sided polygon five-sided starfish children crossing sign

10. An ellipse is a family of curves of one parameter. Ellipse spoons leaf

11. Prisms are simple, closed, 3-D geometrical surfaces that have exactly one interior, no holes, and are hollow. Prism-shaped speakers Quartz prism (hexagonal)

12. A rectangle is a 4 sided polygon with all right angles. bricks cow’s body is shaped like a rectangle

13. A right angle consists of 90 Degrees. Pine tree American Red Cross truck with a cross that features four right angles

14. A rhombus is a 4 sided polygon that has equal sides. Close-up of snake skin Sweater with rhombuses

15. A line extends forever in one direction. sidewalk with cracks/lines leaf with lines

16. Transversal Lines • Transversal Line- A line intersecting two or more lines • The top right picture is a picture of a school’s façade. This pictures is an example of transversal lines because the horizontal column crosses three vertical lines. • The bottom right picture is a picture of a tree branch intersecting two trees. This is an example of intersecting line because the branch intersects two horizontal lines (trees) • Textbook example:

17. Quadrilateral • Quadrilateral- A polygon having four sides • The top right picture is a picture of a color pencil case. This is an example of a quadrilateral because the case has four sides. • The bottom right picture is a picture of a rock. It is an example of a quadrilateral because the rocks has four sides. • Textbook example:

18. Similar Items Similar Items-having the same shape; having proportional corresponding sides and equal corresponding angles The top right picture is a picture of two different size note cards. This is an example of similar items because both cards have same shape and have proportional sides and angles. The bottom picture are two leaves from the same plant. This is an example of similar items because both leaves look the same. Textbook example:

19. Cylinder • Cylinder-a solid with two congruent parallel bases and sides with parallel elements that join corresponding points on the bases • The top right picture is a picture of a traffic signal. It is an example of cylinder because it has two parallel circle faces . • The bottom right picture is a picture of a three stump . It is an example of a cylinder because it looks like it has two parallel circle faces. • Textbook example:

20. Sphere Sphere- A solid figure that has all points the same distance from a fixed point called the center The top right picture is a picture of a ball. It is an example of a sphere because any point on the circumference of the ball is the same distance from the center. The bottom right picture is a picture of a lemon. It is an example of sphere because any point on the circumference of the lemon is the same distance from the center. Textbook example:

21. Intersecting Lines Intersecting Lines-Lines that intersect at a point The top right picture is a picture of tiles. Their union creates lines that intersect at a single point throughout the segment. The bottom right picture is a picture of tree branches. It is an example of intersecting lines because the branches intersect each other at a point. Textbook example:

22. Angle • Angle- An angle is the figure formed by two rays sharing a common endpoint • The top right picture is a picture of scissors. The figure formed by the scissor blades is an angle. • The bottom right picture is a picture of a tree and its branch. The figure formed at the junction of the two is an angle. • Textbook example:

23. Oval An oval with two axes of symmetry. An oval (from Latin ovum, ‘egg’) is a curve that resembles the shape of an egg or an ellipse. Ovals are differentiable (smooth-looking), simple (not self-intersecting), convex, closed, plane curves; There is at least one axis of symmetry. Top Right is a picture of a football. A football is an example of an oval because it has at least one axis of symmetry and resembles the shape of an ellipse. Bottom left is a picture of a pear and is an example of an oval because it ‘s shape is similar to an egg and also has a line of symmetry. In a textbook we can see an example like this: Hand-made: Nature:

24. Tangent The point of tangency is labeled A, the tangent line is labeled B, and the secant line is labeled C. A Tangent is a straight line which touches a given curve exactly once, at a given point. Top Right is a picture of a bicycle wheel and most of the spokes are tangent to the wheel by illustrating a straight line touching the curve of the wheel at one point. Bottom left is a picture of an eye. Eyelids are open and tangent to the iris in the neutral face. The skin forms a line that touches one point on the curve of the an eyelid. In a textbook we can see an example of a Tangent line: Hand-made: Nature:

25. Line Segment Line Segment:  the shortest path between two Q and R. We visualize this segment as a trace without bends, that is drawn straight between Q and R. Infinitely many points exist along this path. A line segment is named by its endpoints. A line segment is named by its endpoints with a line over the top: A Line segment is a part of a line with two endpoints and all the points on the line between them Top right picture is a picture of items that remind one of a vacation and each passport side are lines with two endpoints that illustrate segments of a line. Bottom left is an example of a monkey and the arm of a monkey may represent a line segment because it is a line that has two endpoints. In a textbook we can see an example like this: Hand-Made: Nature:

26. Acute Angle An acute angle is an angle that measures between 0 and 90 degrees; Top right is a picture of the Jamaican flag. An acute angle is illustrated by the yellow lines forming an angle (faces the sides) is less than 90 degrees; the bottom right is a picture of a penguin and the wings of the penguin illustrates an acute angle by measuring less than 90 degrees In a textbook we can see an example like this: Hand-Made: Nature:

27. Trapezoid A trapezoid is a quadrilateral with exactly one pair of parallel sides Top Right is a picture of a brown purse. It is in the shape of a trapezoid by having four sides with two parallel sides and two sides that are not parallel. Bottom left is a picture of a giraffe. The giraffe's neck has a print that is in the shape of a trapezoid because it is a quadrilateral with only 2 parallel sides. In a textbook we can see an example like this: Hand-Made: Nature:

28. Plane A plane is a two-dimensional manifold or surface that is perfectly flat. Top Right is a picture of a golf course and this specific part of the greens is an example of a plane because it was made to be completely flat. Bottom left is a picture of the great plains. This land feature is an example of a plane because it is also a completely flat surface. Illustrating a plane in a textbook may look like this: Hand-Made: Nature:

29. Triangle A triangle is a polygon with three sides Top Right is a picture of a building and it was made into the shape of a triangle. Bottom left is a picture of a shark’s fin, which is in the shape of a triangle because it represents a polygon with three sides. In a textbook we can see an example like this: • Hand-Made: • Nature:

30. CircleA closed plane curve consisting of all points. birthday cake plant

31. Congruent ItemsCoinciding at all points when superimposed. wheels of a car leaves

32. SquareA rectangle having all four sides of equal length. Square diamond rock

33. ConeA solid whose surface is generated by a line passing through a fixed point and a fixed plane curve not containing the point, consisting of two equal sections joined at a vertex. bird’s beak Eiffel Tower

34. ParabolaA plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the cone. butterfly wings McDonald’s

35. ArcAny unbroken part of the circumference of a circle or other curved line. lobster’s claws aquarium

36. Pyramid A solid having a polygonal base, and triangular sides that meet in a point. pine tree wind chimes

37. Hexagon In geometry, a hexagon is a polygon with six edges and six vertices. Man made Nature made The honeycomb on the top left corner is an example of a hexagon occurring in nature because it has six edges and six vertices The window of this church is an example of a hexagon because it is forming a polygon with six edges and six vertices. This is what a hexagon should look like in a textbook

38. Obtuse Angle An obtuse angle is an angle whose measures is greater than 90 degrees and less than 180 degrees. Nature made Man made This is a picture of a coconut tree and a log. They are forming an angle greater than 90 degrees. The edges of this house on the right are forming an obtuse angle. This is what an obtuse angle should look like in a textbook.

39. Radius (circle) The distance from the center of a sphere to its surface or from the center of a circle to its circumference. Man made This is a ferris wheel. It is an example of a radius because it has a center point with lines extending from the center of the sphere to its surface. Nature made This is a tree log. The lines around the tree log looks like circles and the line across looks like its radius.

40. Parallel Lines cut by a perpendicular transversalThese are lines cut at right angles. Man made This is how parallel lines cut by a perpendicular transversal should look like. Nature made These are trees forming parallel lines cut by a perpendicular transversal. This is a bookshelf. It is an example because it looks like parallel lines cut by a perpendicular transversal at the middle forming right angles.

41. Parallel Lines cut by a non- perpendicular transversalThese are lines that do not cross at right angles. Man made This is how parallel lines cut by a non-transversal should look like in the textbook. Nature made The electric cables and the pole are forming parallel lines cut by a non-transversal. These trees are forming parallel lines cut by a non-transversal.

42. RESOURCES http://weather.org/singer/4-28.gif http://www.mathsisfun.com/definitions/images/obtuse-angle.gif http://www.mathsisfun.com/geometry/images/circle.gif