GEOMETRY SCAVENGER HUNT

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GEOMETRY SCAVENGER HUNT

• ELED 4315
• Kristina Gregersen
• Blanca Hernandez
• Emily Locander
• Nelly Bonilla
• Ashley Rivera
• Mary Grajeswki
• SPRING 2008

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• 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
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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.

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Pythagorean Triple

• Pythagorean triple consists of positive integers.
  a2 b2c2.
• The picture to the left is of the San Francisco
  Bridge. Its 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.

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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.

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• 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
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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.

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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.

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A Pentagon is a 5 sided polygon
five-sided starfish
children crossing sign
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An ellipse is a family of curves of one parameter.
Ellipse
spoons
leaf
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Prisms are simple, closed, 3-D geometrical
surfaces that have exactly one interior, no
holes, and are hollow.
Prism-shaped speakers
Quartz prism (hexagonal)
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A rectangle is a 4 sided polygon with all right
angles.
bricks
cows body is shaped like a rectangle
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A right angle consists of 90 Degrees.
Pine tree
American Red Cross truck with a cross that
features four right angles
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A rhombus is a 4 sided polygon that has equal
sides.
Close-up of snake skin
Sweater with rhombuses
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A line extends forever in one direction.
sidewalk with cracks/lines
leaf with lines
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Transversal Lines

• Transversal Line- A line intersecting two or more
  lines
• The top right picture is a picture of a schools
  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

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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

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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

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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

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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

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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

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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

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Oval

• Hand-made
• Nature

• 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

An oval with two axes of symmetry.
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Tangent

• 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

The point of tangency is labeled A, the tangent
line is labeled B, and the secant line is labeled
C.
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Line Segment

• 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

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
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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

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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

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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

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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 sharks 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

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CircleA closed plane curve consisting of all
points.
birthday cake
plant
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Congruent ItemsCoinciding at all points when
superimposed.
wheels of a car
leaves
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SquareA rectangle having all four sides of equal
length.
Square diamond
rock
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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.
birds beak
Eiffel Tower
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ParabolaA plane curve formed by the intersection
of a right circular cone and a plane parallel to
an element of the cone.
butterfly wings
McDonalds
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ArcAny unbroken part of the circumference of a
circle or other curved line.
lobsters claws
aquarium
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Pyramid A solid having a polygonal base, and
triangular sides that meet in a point.
pine tree
wind chimes
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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
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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.
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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.
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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.
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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.
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• RESOURCES
• http//weather.org/singer/4-28.gif
• http//www.mathsisfun.com/definitions/images/obtus
  e-angle.gif
• http//www.mathsisfun.com/geometry/images/circle.g
  if