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## Quest 2 Geometry Scavenger Hunt

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**Quest 2Geometry Scavenger Hunt**By Celina Garza Deanna Nicholson Rachel Roth Cynthia Mitchell**Circle**Definition:the set of points on a plane at a certain distance (radius) from a certain point (center); a polygon with infinite sides A clock like this can be found in a house or at a business, like in a building. This clock has a center that is the same amount of distance from any point on the circle. This clock has infinite amount of sides just like a circle as well. The moon can be found in the sky at night. Full moons usually only occur about once a month. The moon is a perfect circle. It has an infinite amount of sides and the center is also the same amount of distance from any point on the circle. In a textbook we could see a Circle like this. r- radius C- circumference d- diameter**Cube**Definition:block: a three-dimensional shape with six square or rectangular sides A Rubik’s cube can be found and purchased at any toy store or on the internet. The Rubik’s cube is named because of its shape. It is a three-dimensional cube, has six sides, and each side has the same number of squares, which is nine. In a textbook we could see a Cube like this.**Square**Definition:a plane rectangle with four equal sides and four right angles; a four-sided regular polygon This is a square that has been needle pointed. It is a square that someone has made by hand. This is shaped like a square because all sides are equal, and this was probably done where the same number of stitches were done on each side. This is a square melon that is grown in certain parts of the United States, like California. Square melons are rare. This square melon that has four equal sides and four, equal right angles. In a textbook we could see a Square like this.**Cone**Definition:a shape whose base is a circle and whose sides taper up to a point This kind of ice cream cone can be found at any grocery or ice cream store. For one, the name speaks for itself. In addition, though, this ice cream cone has a circle opening and all the sides come to a point. This shell can be found at a beach or lakeside, it can either be found in the water or by the waterside. This shell top is actually in the shape of a circle and then the shell curls around until the bottom comes to a point. In a textbook we could see a Cone like this.**Parabola**Definition:a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve This parabola is man made because it can be found when you turn on the light of a flashlight. In order for the light to make this shape, it depends on the way the light hits against the wall. The when the flashlight is turned on, the rays of the light curve up at a diagonal to the right and the left. These diagonals and the curve from the base of the light is where the parabola comes from. In a textbook we could see a Parabola like this.**Arc**Definition:a continuous portion of a circle This is the Arc de Triumph, which is located in Paris, France. The name says it all. The arc can be seen in the middle of the architecture where a half of a circle can be seen. It starts on one side and makes the curve of a circle to the other side. This is half of the moon, which can only be found at night in the sky. Because we can only see a portion of the curvature of the moon, we can see exactly what the arc looks like. It starts at the top and curves half of a circle to the bottom. In a textbook we could see an Arc like this.**Pyramid**Definition:a polyhedron having a polygonal base and triangular sides with a common vertex These are the Pyramids of Giza, which are located in Egypt. They were built during the fourth dynasty. These pyramids were built so that each side would be shaped like a triangle and come to a high point. This is a picture of Black Pyramid Mountain, which is located in Montana. This mountain has been in Montana for years and was named Black Pyramid Mountain because it is shaped like a pyramid. It had a flat base and triangle sides that come to a point at the top. In a textbook we could see a Pyramid like this.**Ray**Definition: It is a part of a line that begins at a point and is endless in one direction This picture was found on the internet. It could also be found in a laser pointer. This is a laser beam of light. It starts at one point and is endless in one direction. This picture was found on the internet. It is a clipart picture of what the sun rays would look like. The sun rays begin at the sun and are endless in one direction. In a textbook we could see a ray like this.**Point**Definition: A point is one of the basic terms in geometry. We may think of a point as a "dot" on a piece of paper. We identify this point with a number or letter. A point has no length or width, it just specifies an exact location This picture was found on the internet. It could also be found on any map. There are many points on this map. One point on this map is San Francisco. This picture was found on the internet.It is a picture of a Stalagmite. These can be found in caves. The end of the stalagmite is a point. In a textbook we could see a point like this.**Parallel Lines**Definition: When two lines in the same plane which never intersect are called parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. This picture was found on the internet. It could be any road however. The white lines on the side of the road are parallel to each other. This picture was found on the internet. This leaf could be found any where in nature where the climate is right. The lines on leaf are parallel lines. They never intersect. In a textbook we could see parallel lineslike this.**Pentagon**Definition: A pentagon is a 5 sided polygon. It has five interior angles and the angle sum is 540 degrees. This picture was found on the internet. This is the government building, The Pentagon. It can be found in Washington D.C. The sides of the wall make up the shape of a pentagon. In a textbook we could see pentagon like this.**Fractal**Definition: A fractal is a geometrical shape or pattern made up of identical parts, which are in turn identical to the overall pattern. The term "fractal" was coined by Benoit Mandelbrot about 1975 to describe a complex geometrical object that has a high degree of "self-similarity" and a fractional dimension that exceeds the normal, or "topological", dimension ( "D" ) for that type of object. This is a man made snowflake made by by the mathematician Helge von Koch (1870-1924), is the equilatorial triangle which can be built up into a much larger but still similar pattern. This is a fossil I found on the internet with a great article. In a textbook we could see fractal look like this.**Pythagorean Triple**Definition:"In any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs." This relationship can be stated as:and is known as the Pythagorean Theorem This is a problem I found on the internet. This only works with right triangles. Any right triangle that the sides are 3, 4 and 5 or multiples of them. In a textbook we could see Pythagorean Triple look like this. a, b are legs. c is the hypotenuse(c is across from the right angle).**Congruent Items**Definition:Congruent items are two or more figures: identical in size and shape This picture was found on the internet. The twin towers now can only be found in pictures but once were in New York City. The 2 towers are identical in size and shape. This picture was found on the internet. You can only find cells in pictures unless you have a very high power microscope. The cells are identical in size and shape. The 2 diploid cells are an example of congruent items. In a textbook we could see congruent items look like this.**Oval**Definition: The oval is a curve shaped figure that is a closed smooth plane with no corners. There is also at least one axis of symmetry. This picture was found on the internet. The egg is a nature made oval. It is round in nature with one end smaller than the other. In a textbook we could see an oval look like this.**Intersecting Lines**Definition: Lines that intersect in a point are called intersecting lines. http://mathworld.wolfram.com/IntersectingLines.html Location: www.leduntitled.com/archives/2003_08.php This intersection could be found in a small town. Description: The street intersection meets at a point, therefore it is an example of man made intersecting lines. Location: www.fotosearch.com The abdomen is the stomach area in the human body. Description: The abdomen is divided into right upper and lower and left upper and lower quadrants by a horizontal and a vertical line intersecting at the umbilicus. This is a natural example of intersecting lines. In a textbook we could see a intersecting lines like this www.edhelper.com/math/math_fifth_grade_FIVE87.htm**Angle**Definition: An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. http://en.wikipedia.org/wiki/Angle Location: www.Interactiveattractions.com/images/pool_balls.jpg Pool balls can be found on any pool table around town. Description: The pool balls form a right triangle, which has three endpoints, creating three 60 degree angles. This is an example of man made angles. Location: www.fotosearch.com/IGS174/is33079 This can be found on a friendly hand. Description: The “V” Sign, or Peace Sign signifies peace. It also creates a natural angle with the index and middle fingers. In a textbook we could see a angle like this www.mathworld.wolfram.com/Angle.htm**Chord**Definition: a chord is the line segment joining two points on a curve http://mathworld.wolfram.com/Chord.html Location: http://www.nmsu.edu/~Safety/policies/policy_smoking.htm This sign can be found at a non-smoking section. Description: The no smoking sign is a man made example of a chord. The line in the middle going across the cigarette is joining two points on the circle, or curve to become the chord. In a textbook we could see a chord like this http://mathworld.wolfram.com/Chord.html**Tangent**Definition: line or plane which touches a given curve or solid at a single point. http://mathworld.wolfram.com/Tangent.html Location: http://functions.wolfram.com/ElementaryFunctions/Tan/visualizations/5.html This can be found in a textbook. Description: This is the tan (z) as 3D plots over the complex plane. The single point is at the center of the curve on this plane. In a textbook we could see a tangent like this http://mathworld.wolfram.com/Tangent.html**Plane**Definition: the fundamental two-dimensional object. It may be visualized as a flat infinite piece of paper. http://en.wikipedia.org/wiki/Plane_(mathematics) Location: http://www.sbxl.org/fordfieldThis could be found ata local stadium. Description: This shows a two-dimensional plane as a football field. The field is divided into sections, almost like quadrants. Location: http://www.cadtutor.net/ibank/raster/sky/sky4.html The sky can be found outside. Description: The sky is infinite, just as a plane is. The sky can be used to set up problems in the same way the plane does, by graphing on its surface. This is a natural example of a plane. In a textbook we could see a plane like this http://mathworld.wolfram.com/Plane.html**Triangle**Definition: A triangle is a 3-sided polygon. Every triangle has three sides and three angles, some of which may be the same. Location: http://www.magictails.com/abydos/mid-east/percussion.htmlThis can be found in a school’s music room. Description: This is an example of a man made triangle because the instrument has three sides, and three angles. Location: http://port.inst.cl.uh.edu/Portfolio/PettyP This picture could be found in a text book. The separation of colors is found by sunlight passing through a prism. Description: This is a natural occurrence because this is the color spectrum shown as a color triangle. In a textbook we could see a triangle like this http://mathworld.wolfram.com/Triangle.html**Parallel Lines Cut By A Non-Perpendicular Transversal**Definition: The intersection of one line with two parallel lines creates many interesting angle relationships. This situation is often referred to as “parallel lines cut by a transversal,” where the transversal is the nonparallel line. Location: http://www.scn.org/web.root/neighbors/laurelhurst/places/Maps/Aerial.htmlThis can be found in a neighborhood. Description: The parallel streets are continuously cut by other streets running another direction. The streets intersecting the streets that are running parallel is the transversal. The neighborhood is a man made example. Location: http://www.fotosearch.com/PHD500/aa051055/ This leaf could be found outdoors from a tree. Description: The veins on the leaf represent parallel lines cut by a non-perpendicular transversal. In a textbook we could see parallel lines cut by a non-perpendicular transversal like this http://www.sparknotes.com/testprep/books/sat2/math1c/chapter6section1.rhtml**Parallel Lines Cut By A Perpendicular Transversal**Definition: a single line or line segment is perpendicular to two different lines or line segments, then those two lines or line segments are parallel. Location: http://www.fccfontana.org/about?&file=missionThis could be found in a neighborhood. Description: The aerial view of this neighborhood shows streets as parallel lines cut by a perpendicular transversal. The parallel streets are no longer able to go on for infinity because of the transversal. This is a man made example. Location: http://www.botanicalartprints.com/notecard.cfm?card=803 These can be found in a yard. Description: Mushrooms grow in the ground, therefore, this is a natural example. The ground can be parallel line, and the stem is the transversal, which is cutting it. In a textbook we could see parallel lines cut by a perpendicular transversal like this http://www.sparknotes.com/testprep/books/sat2/math1c/chapter6section1.rhtml**Ellipse**Definition: In mathematics, an ellipse is a plane algebraic curve where the sum of the distances from any point on the curve to two fixed points is constant. Ellipse – Man Made. This kickball field can be found in Washington, D.C. The field has an elliptical shape because it has an oblong shape and the width is greater than the depth. In a textbook, we may see an example of an ellipse displayed like this.**Prism**Definition: A solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram. Prism – Man Made. This picture was found on the internet. This prism is made up of solid matter. Each of its opposite sides are parallel and the bases and ends are the same size and shape and are also parallel to each other. In a textbook, we would see an example of a prism displayed like this. Prisms are often used to teach the subject of light dispersion and refraction.**Line**Definition: A geometric figure formed by a point moving along a fixed direction and the reverse direction. Line – Man Made. This picture was found on the internet. It is a clothes line. The shape of the clothes line is formed by a set of points. In a textbook, we could see a line like this.**Transversal**Definition: A line that intersects a system of other lines. Transversal – Man Made. This picture was found on the internet. It is a cellular phone tower. The steel pipe that the tower is constructed of lays across one another. The pieces of horizontal pipe intersect the system of vertical pipe. In a textbook, we could see an example of transversal displayed like this.**Quadrilateral**Definition: A polygon having four sides. Quadrilateral – Man Made. This kite was found on the internet. It is a made up of four closed line segments on a plane. In a textbook, we could see a quadrilateral like this.**Similar Items**Definition: Having corresponding angles equal and corresponding line segments proportional. Used to describe geometric figures: similar triangles. Similar Items – Man Made. This picture was found on the internet. This gate is an example of a similar item. It has corresponding angles and line segments that are proportional. In a textbook, we could see similar items look like this.**Cylinder**Definition: (1) 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. The portion of such a surface bounded by two parallel planes and the regions of the planes bounded by the surface. (2) A solid bounded by two parallel planes and such a surface, especially such a surface having a circle as its directrix. (3) A cylindrical container or object. Cylinder – Man Made. This picture was found on the internet. This picture is an example of a cylindrical container. Its sides are parallel planes that are closed and curved. In a textbook, we could see a cylinder look like this.**Sphere**Definition: A three-dimensional surface, all points of which are equal distance from a fixed point in the center. A pool ball – Man Made. This picture was found on the internet. This object is perfectly round. All points on the surface are at an equal distance from the center of the ball. Earth – Naturally Occurring. In a textbook, we could see a sphere look like this.**Thank You**• Thank You for viewing our Scavenger Hunt on Geometric Shapes. • If you need any help on viewing our pictures, most of the websites can either be found on the slide or on the picture. Go Geometry!