Geometry In The Real World By: Kelsey Smith http:// erewea retoget her.co m/c/im ages/m ain_ima ge-...
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Transcript of Geometry In The Real World By: Kelsey Smith http:// erewea retoget her.co m/c/im ages/m ain_ima ge-...
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Geometry In The Real World
By: Kelsey Smith
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Point
A capital on a map would be considered an example of a “point”, because a point is a direct location on the map just as a point would be on a line.
Geometry Connection
Real World Connection
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Line
The equator represents a “line” because a line is infinitely long and straight just as a interstate typically seems to be.
Geometry Connection
Real World Connectionhttp://t0.gstatic.com/images?q=tbn:ANd9GcTprRE9svo67sHrojf3WBLlUIFso_UH2i0dy3WaGbEOiGjnGUew:onemathematicalcat.org/Math/Geometry_obj/graphics/line.png
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Plane
A state or city on a map represents a “plane” because just like a plane, a state or city can have several different points (locations) and you can call it by one general name.
Real World Connection
Geometry Connection http://t1.gstatic.com/images?q=tbn:ANd9GcQNFVsLTR85lK6vSlK6prOABDT2Dt5saRvW-lt_TJejUDbBFKtP:img413.imageshack.us/img413/5636/post102741235319763.png
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Segment
A street or road is an example of a “segment” because just like a segment, the street starts at one point and eventually ends at another location.
Geometry Connection
Real World Connection
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Ray
A interstate represents a “ray” because it starts at one point and goes on for what seems to be forever, just as a ray is infinitely long.
Geometry Connection
Real World Connection
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Collinear Points
Cars lined at a traffic light would be an example of “collinear points” because they are all in the same line/lane, just as collinear points would be.
Geometry Connection
Real World Connectionhttp://t0.gstatic.com/images?q=tbn:ANd9GcRi4zX6OAYzZmEnMAQ_XJaNmoB4EXFnMceorqZCaZ7SSAhTZR3R:onemathematicalcat.org/Math/Geometry_obj/graphics/collinear_points.png
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Acute Angle
A folded seat in the car would represent an “acute angle” because it is less than 90 degrees just as an acute angle.
Geometry Connection Real World Connectionhttps://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcRsgjd0o40YEf-bakQakNIlyvE_YzBT4AZevuHTMbxAOfhaEyfXzQ
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Obtuse Angle
A reclining chair in the living room would represent an “obtuse angle” because it is reclined more than 90 degrees as how an obtuse angle would be.
Geometry Connection
Real World Connection
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Right Angle
The corner of a picture frame would represent a “right angle” because it is exactly 90 degrees just as a right angle.
Geometry ConnectionReal World Connection
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Perpendicular Lines
A intersection would represent “perpendicular lines” roads/lines meet and form four 90 degree angles.
Real World Connection
Geometry Connection
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Complementary Angles
An example of “complementary angles” would be the flaps on an envelope measured to add up to 90 degrees from each side, just as complementary angles.
Geometry Connection
Real World Connectionhttps://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSB2AJBGE8ctw3dMD2HVc9TjmRhc2wHEZ8RR53yxCm2IzyZocuz
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Supplementary Angles
An example of “supplementary angles” would be railroad tracks, because from every angle the railroad tracks would end up having a sum of 180 degrees just as supplementary angles would.
Geometry Connection
Real World Connection
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Vertical Angles
A pair of scissors is an example of vertical angles because the angles are opposite each other when two lines cross. They are always equal.
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Geometry ConnectionReal World Connection
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Acute Triangles
The structure of the roof is an example of an acute triangle because it has all angles less than 90 degrees
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Geometry Connection Real World Connection
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Obtuse Triangles
The triangles in the bridge are examples of obtuse triangles because they each have one angle greater than 90 degrees.
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Geometry Connection
Real World Connection
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Equilateral Triangles
A pool ball rack is an example of an equilateral triangle because all the same angle measurements and the same side lengths.
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Geometry ConnectionReal World Connection
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Isosceles Triangles
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A flag is an example of a isosceles triangle because at least two sides are congruent on the triangle. Theorem: If two sides of the triangle are congruent, then two angles opposite of sides are congruent.
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Geometry Connection
Real World Connection
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Scalene Triangles
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A triangle shaped ruler is an example of a scalene triangle because it has all different side lengths and angles.