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Geometry In The Real World By: Kelsey Smith erewea retoget her.co m/c/im ages/m ain_ima ge- world.p ng.

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Presentation on theme: "Geometry In The Real World By: Kelsey Smith erewea retoget her.co m/c/im ages/m ain_ima ge- world.p ng."— Presentation transcript:

1 Geometry In The Real World By: Kelsey Smith http:// www.h erewea retoget her.co m/c/im ages/m ain_ima ge- world.p ng

2 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.gst atic.com/im ages?q=tbn: ANd9GcSbN HehAB5AldtF 9hv0p5H0mt vWT3eTcJgjg WS3Q5qQk6 bhiqEd:singb ookswithemil y.files.wordpr ess.com/201 2/06/usa- map-with- colors- capital-stars- sbwe.jpg%3F w%3D480%2 6h%3D370 http://t1.gstatic.com/i mages?q=tbn:ANd9Gc TctOCX5wVxcxC3XLgF XnSI7L9ly1AjnrIWjGIxN2x maetB98r1:geometry.fr eehomeworkmathhelp. com/Points_Lines_Plan es_2/geometry_2_one_ dimensional_line_2.gif

3 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 Connection http://t0.gstatic.com/images?q =tbn:ANd9GcT prRE9svo67sHroj f3WBLlUIFso_UH 2i0dy3WaGbEO iGjnGUew:one mathematicalc at.org/Math/G eometry_obj/gr aphics/line.png http:/ /ww w.ph ysics.r utger s.edu /~ma tilsky/ docu ment s/cha ndra- ed/st uden ts/ds9 _files/ christi ne/C hand ra/pi cture s/pri meq u.gif

4 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/im ages?q=tbn:ANd9GcQN FVsLTR85lK6vSlK6prOABD T2Dt5saRvW- lt_TJejUDbBFKtP:img413.i mageshack.us/img413/5 636/post10274123531976 3.png http ://g o.hr w.c om/ atla s/no rm_ ma p/k ans as.g if

5 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/i mages?q=tbn:ANd9G cSVmaT5RfChhujnGj Mqj00siwxrnHLv41GO 4oIklbt8_gjm9mLmZg

6 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:ANd9GcQeefG ZxDg6r9GvT9iAA0fqYiNzHPmKTZzupchJk- MaOAbwbQgY:www.mathplanet.com/media/38987 /vector01.png http://t1.gstatic.com/images?q=tbn:ANd9GcTKK30ur RCbXsEoNoR7j0MY4u153N5r_SZoGAkws7CBkMW1sJL d:i95highway.com/images/interstate_95_south_caroli na_map.gif

7 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 Connection http://t0.gstatic.com/images?q=tbn:ANd9GcRi4zX6 OAYzZmEnMAQ_XJaNmoB4EXFnMceorqZCaZ7SSAhTZ R3R:onemathematicalcat.org/Math/Geometry_obj/ graphics/collinear_points.png https://en crypted- tbn2.gstat ic.com/im ages?q=t bn:ANd9 GcSzJnYA rCf1qpUIL pafyI6Mu- sw_qOxMf McPBvyYJ XcYTiD0rM 1iQ

8 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 Connection https://encry pted- tbn2.gstatic. com/images ?q=tbn:ANd 9GcRsgjd0o 40YEf- bakQakNIlyv E_YzBT4AZev uHTMbxAOf haEyfXzQ

9 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://encryp ted- tbn1.gstatic.c om/images?q =tbn:ANd9Gc TjlJ- P7GwJdXYUij6 36sFYJAU7c6U GIgOdJmJn3 GW99V9VHVE t https://en crypted- tbn2.gstati c.com/im ages?q=t bn:ANd9 GcSMIyao SXiQsoCN KIHigmdd 1F5OjZUZ3 XIbOeX8v SVR09VAi- uz

10 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 Connection Real World Connection https://encrypted- tbn2.gstatic.com/ima ges?q=tbn:ANd9GcT UwwfvEWYxNFD_lw5f KUNhMEKxHyV3OYp4 ZB9Jpwjh6M-5yXYQ https://encrypted- tbn0.gstatic.com/imag es?q=tbn:ANd9GcS8- hSHnLgZqWSPzPFwtcNE cw4BCmAy2lmyrIC1EDI pUZPx0JV4

11 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/image s?q=tbn:ANd9GcTUUIW OnyLoMd7BoFG0CRnM aS_zojqD_Zby9Wh3gMA VkzWuRtYW https://encrypted- tbn0.gstatic.com/image s?q=tbn:ANd9GcQAdb8 Z56pJGjoMcJVggIUd3m AgOPwc6GzfhPucYFAe6 DgvAH63AA

12 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 Connection https://encryp ted- tbn1.gstatic.c om/images?q =tbn:ANd9Gc SB2AJBGE8ct w3dMD2HVc9 TjmRhc2wHEZ 8RR53yxCm2Iz yZocuz https://encrypt ed- tbn1.gstatic.co m/images?q=t bn:ANd9GcRf Ojs5t4Q1qCdU bvO1msEWa- 93- ZafEtSgNsYdRX 8vGxCCnR0OK A

13 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:ANd9GcQTFfADMKQCBZf wLesSWT1Uf8MUJy- F60aTA7mXcRBKPyHLgedf https://encrypted- tbn1.gstatic.com/ima ges?q=tbn:ANd9Gc Q6vdadfneL0it68XB4 MLukDV7X50g6zYlkqb 8poVe0ZOLZ1hHi

14 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:ANd9GcT1NIYz0d YUVam_IKRO899axoo9yt QOmCtje8c_t5AxkCH9tL cM https://encrypted- tbn2.gstatic.com/i mages?q=tbn:ANd 9GcR_knP3gx9gb3 Z9AwMnNjEx_bna5 dGrRRec07JoE_0A vRGBxLtTbA Geometry Connection Real World Connection

15 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/i mages?q=tbn:ANd 9GcTVbCFnsMDQR aUsiA6gCbVWGeT blEP6DitIIFXRSFJuR9 QxpY1KZg https://encrypte d- tbn1.gstatic.co m/images?q=tb n:ANd9GcQcm YZDEYjLGJ- oq9YnmFIbzL7zfI vZAiQE1_ofx- 40q-NiEyJqXg Geometry Connection Real World Connection

16 Obtuse Triangles  The triangles in the bridge are examples of obtuse triangles because they each have one angle greater than 90 degrees. https://encryp ted- tbn1.gstatic.c om/images?q =tbn:ANd9Gc Q1fiBBeGDvo Re- vOAujaPOWb MAfzoQjvMBV MpUBwigU62y fwhAzg https://encrypt ed- tbn3.gstatic.co m/images?q=t bn:ANd9GcRfX lqs3Hzvvlnru1o oO9f71jlbILNpz At- fIwZKbYMiJmhL oox8Q Geometry Connection Real World Connection

17 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://encryp ted- tbn1.gstatic.c om/images?q =tbn:ANd9GcT A8ob8llb66FQ gsI4zm3vxeUC _U1LgWVpziO9 pLlqQeHHke- DdGw https://enc rypted- tbn2.gstati c.com/ima ges?q=tbn :ANd9GcS Byzm0UVb 1HQ_6ZdX pxYMO5o MLGrdaW3 pG1Z32F_n 1jPZ7vaWd cA Geometry Connection Real World Connection

18 Isosceles Triangles https://encrypted- tbn2.gstatic.com/i mages?q=tbn:AN d9GcSsaAhAGSHo ic_f_L__qwBBOVLo RFp3Zdue4iyQdsC 1zCJcVtDYqQ 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://encry pted- tbn1.gstatic. com/images ?q=tbn:ANd 9GcSJeRqAF dOjuMwGliir qyYjrm6aiub 0K3X7TthyAt HmoS6karm8 Hw Geometry Connection Real World Connection

19 Scalene Triangles  https://enc rypted- tbn2.gstati c.com/ima ges?q=tbn: ANd9GcTR ytXJDSND8 o5hJltZhU0 gqaf9Kdcu 5jQGe8YKif 3dsb9nuez S https://encrypt ed- tbn0.gstatic.c om/images?q =tbn:ANd9GcT SBBvy1pjYGVu dOWOsvSV- wSYdCagkMH BrrO3Pkn66IoO cAWQAZw A triangle shaped ruler is an example of a scalene triangle because it has all different side lengths and angles.


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