Geometry In The Real World

By: Kelsey Smith

http://www.herewearetogether.com/c/images/main_image-world.png

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

http://t1.gstatic.com/images?q=tbn:ANd9GcSbNHehAB5AldtF9hv0p5H0mtvWT3eTcJgjgWS3Q5qQk6bhiqEd:singbookswithemily.files.wordpress.com/2012/06/usa-map-with-colors-capital-stars-sbwe.jpg%3Fw%3D480%26h%3D370

http://t1.gstatic.com/images?q=tbn:ANd9GcTctOCX5wVxcxC3XLgFXnSI7L9ly1AjnrIWjGIxN2xmaetB98r1:geometry.freehomeworkmathhelp.com/Points_Lines_Planes_2/geometry_2_one_dimensional_line_2.gif

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

http://www.physics.rutgers.edu/~matilsky/documents/chandra-ed/students/ds9_files/christine/Chandra/pictures/primequ.gif

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

http://go.hrw.com/atlas/norm_map/kansas.gif

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

http://t2.gstatic.com/images?q=tbn:ANd9GcSVmaT5RfChhujnGjMqj00siwxrnHLv41GO4oIklbt8_gjm9mLmZg

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

http://t3.gstatic.com/images?q=tbn:ANd9GcQeefGZxDg6r9GvT9iAA0fqYiNzHPmKTZzupchJk-MaOAbwbQgY:www.mathplanet.com/media/38987/vector01.png

http://t1.gstatic.com/images?q=tbn:ANd9GcTKK30urRCbXsEoNoR7j0MY4u153N5r_SZoGAkws7CBkMW1sJLd:i95highway.com/images/interstate_95_south_carolina_map.gif

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

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSzJnYArCf1qpUILpafyI6Mu-sw_qOxMfMcPBvyYJXcYTiD0rM1iQ

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

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

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTjlJ-P7GwJdXYUij636sFYJAU7c6UGIgOdJmJn3GW99V9VHVEt

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSMIyaoSXiQsoCNKIHigmdd1F5OjZUZ3XIbOeX8vSVR09VAi-uz

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

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcTUwwfvEWYxNFD_lw5fKUNhMEKxHyV3OYp4ZB9Jpwjh6M-5yXYQ

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcS8-hSHnLgZqWSPzPFwtcNEcw4BCmAy2lmyrIC1EDIpUZPx0JV4

Perpendicular Lines

A intersection would represent “perpendicular lines” roads/lines meet and form four 90 degree angles.

Real World Connection

Geometry Connection

https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcTUUIWOnyLoMd7BoFG0CRnMaS_zojqD_Zby9Wh3gMAVkzWuRtYW

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQAdb8Z56pJGjoMcJVggIUd3mAgOPwc6GzfhPucYFAe6DgvAH63AA

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

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRfOjs5t4Q1qCdUbvO1msEWa-93-ZafEtSgNsYdRX8vGxCCnR0OKA

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

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQTFfADMKQCBZfwLesSWT1Uf8MUJy-F60aTA7mXcRBKPyHLgedf

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQ6vdadfneL0it68XB4MLukDV7X50g6zYlkqb8poVe0ZOLZ1hHi

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.

https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcT1NIYz0dYUVam_IKRO899axoo9ytQOmCtje8c_t5AxkCH9tLcM

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcR_knP3gx9gb3Z9AwMnNjEx_bna5dGrRRec07JoE_0AvRGBxLtTbA

Geometry ConnectionReal World Connection

Acute Triangles

The structure of the roof is an example of an acute triangle because it has all angles less than 90 degrees

https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcTVbCFnsMDQRaUsiA6gCbVWGeTblEP6DitIIFXRSFJuR9QxpY1KZg

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQcmYZDEYjLGJ-oq9YnmFIbzL7zfIvZAiQE1_ofx-40q-NiEyJqXg

Geometry Connection Real World Connection

Obtuse Triangles

The triangles in the bridge are examples of obtuse triangles because they each have one angle greater than 90 degrees.

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcQ1fiBBeGDvoRe-vOAujaPOWbMAfzoQjvMBVMpUBwigU62yfwhAzg

https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRfXlqs3Hzvvlnru1ooO9f71jlbILNpzAt-fIwZKbYMiJmhLoox8Q

Geometry Connection

Real World Connection

Equilateral Triangles

A pool ball rack is an example of an equilateral triangle because all the same angle measurements and the same side lengths.

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTA8ob8llb66FQgsI4zm3vxeUC_U1LgWVpziO9pLlqQeHHke-DdGw

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSByzm0UVb1HQ_6ZdXpxYMO5oMLGrdaW3pG1Z32F_n1jPZ7vaWdcA

Geometry ConnectionReal World Connection

Isosceles Triangles

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSsaAhAGSHoic_f_L__qwBBOVLoRFp3Zdue4iyQdsC1zCJcVtDYqQ

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.

https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSJeRqAFdOjuMwGliirqyYjrm6aiub0K3X7TthyAtHmoS6karm8Hw

Geometry Connection

Real World Connection

Scalene Triangles

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcTRytXJDSND8o5hJltZhU0gqaf9Kdcu5jQGe8YKif3dsb9nuezS

https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTSBBvy1pjYGVudOWOsvSV-wSYdCagkMHBrrO3Pkn66IoOcAWQAZw

A triangle shaped ruler is an example of a scalene triangle because it has all different side lengths and angles.