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Geometry in The Real World By: Surqavin Hemingway
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POINT A POINT is dot that represents a specific location or spot, and is represented by a capital letter. Real World Example- Chocolate chip cookies A POINT is dot that represents a specific location or spot, and is represented by a capital letter. Real World Example- Chocolate chip cookies
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POINT I chose these pictures because the chocolate chips represent POINTS in the cookies.
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LINE A LINE is straight, and goes on infinitely in both directions. It is named by two capital letters. Through any two points there is exactly one LINE. (Post. 1.1.1) Real world example- Road I29 A LINE is straight, and goes on infinitely in both directions. It is named by two capital letters. Through any two points there is exactly one LINE. (Post. 1.1.1) Real world example- Road I29
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LINE I chose these pictures because this highway goes on almost forever like a LINE.
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PLANE A PLANE is a flat surface that is represented by one letter If two PLANES intersect they in intersect in exactly one line. (post. 1.1.5) Real world example- Flat landscape A PLANE is a flat surface that is represented by one letter If two PLANES intersect they in intersect in exactly one line. (post. 1.1.5) Real world example- Flat landscape
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PLANE These pictures show how the landscape is a flat surface
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SEGMENT A SEGMENT is a straight line with two endpoints, and is represented by two capital letters. Segment addition postulate- If B is between A and C then AB+BC=AC (post. 1.2.2) An example of a SEGMENT would be a Pencil A SEGMENT is a straight line with two endpoints, and is represented by two capital letters. Segment addition postulate- If B is between A and C then AB+BC=AC (post. 1.2.2) An example of a SEGMENT would be a Pencil
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SEGMENT These pictures show that the pencils have two endpoints, therefore they are called SEGMENTS.
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RAY A RAY has one end point and extends infinitely in one direction. It’s represented by two capital letters An example of a RAY would be a RAY of sunlight. A RAY has one end point and extends infinitely in one direction. It’s represented by two capital letters An example of a RAY would be a RAY of sunlight.
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RAY I chose these pictures because they show the RAYS of sunlight that start from the sun, and keep going on in the direction of the earth.
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COLLINEAR POINTS COLLINEAR POINTS are points that are on the same line. If two points lie in a plane, then the line containing those points lies in that plane. (post. 1.1.3) An example of COLLINEAR POINTS would be pole with multiple wires COLLINEAR POINTS are points that are on the same line. If two points lie in a plane, then the line containing those points lies in that plane. (post. 1.1.3) An example of COLLINEAR POINTS would be pole with multiple wires
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COLLINEAR POINTS I chose this picture because it shows the multiple points on the pole where the wires touch it.
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ACUTE ANGLE An ACUTE ANGLE is any angle less than 90 degrees. An example of an ACUTE ANGLE is a slice of pie. An ACUTE ANGLE is any angle less than 90 degrees. An example of an ACUTE ANGLE is a slice of pie.
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ACUTE ANGLE The pie is an ACUTE ANGLE because it is less than 90 degrees.
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OBTUSE ANGLE An OBTUSE ANGLE is any angle that is more than 90 degrees, and less than 180 degrees. An example is a recliner leaned back. An OBTUSE ANGLE is any angle that is more than 90 degrees, and less than 180 degrees. An example is a recliner leaned back.
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OBTUSE ANGLE The picture shows that when the recliner is back, it’s an OBTUSE ANGLE.
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RIGHT ANGLE A RIGHT ANGLE is any angle that equals 90 degrees Angle Addition Postulate- If S is the interior of <PQR, then m<PQS+ m<SQR=m<PQR (post. 1.3.2) Real World Example- Clock hands at 12 and 3 A RIGHT ANGLE is any angle that equals 90 degrees Angle Addition Postulate- If S is the interior of <PQR, then m<PQS+ m<SQR=m<PQR (post. 1.3.2) Real World Example- Clock hands at 12 and 3
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RIGHT ANGLE These pictures show how the clock hands form a RIGHT ANGLE.
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PERPENDICULAR LINES PERPENDICULAR LINES are lines that intersect and form 4 right angles. If two lines intersect, then they intersect on exactly one point. (post. 1.1.4) Real World Example- A Cross PERPENDICULAR LINES are lines that intersect and form 4 right angles. If two lines intersect, then they intersect on exactly one point. (post. 1.1.4) Real World Example- A Cross
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PERPENDICULAR LINES A Cross forms 4 right angles
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COMPLEMENTARY ANGLES COMPLEMENTARY ANGLES are angles that equal 90 degrees. Real world Example- Corner of a flat screen TV COMPLEMENTARY ANGLES are angles that equal 90 degrees. Real world Example- Corner of a flat screen TV
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COMPLEMENTARY ANGLES The corners of the TV are COMPLEMENTARY ANGLES
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SUPPLEMENTARY ANGLES SUPPLEMENTARY ANGLES are angles that equal 180 degrees. Real World Example- Half of a pizza SUPPLEMENTARY ANGLES are angles that equal 180 degrees. Real World Example- Half of a pizza
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SUPPLEMENTARY ANGLES The pizza is 180 degrees making it a supplementary angle.
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Vertical Angles Vertical angles are congruent angles that are like right across from each other. Real world example- Railroad Crossing sign Vertical angles are congruent angles that are like right across from each other. Real world example- Railroad Crossing sign
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Vertical Angles This sign forms 2 sets of vertical angles at the top/bottom, and left/right
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Acute triangle Acute triangles are made up of three acute angles Real world example- Pool table triangle thingy Acute triangles are made up of three acute angles Real world example- Pool table triangle thingy
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Acute Triangle All of the angles are acute, forming an Acute Triangle.
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Obtuse Triangle An Obtuse Triangle has two acute angles and one Obtuse angle. Real world example- Hangar An Obtuse Triangle has two acute angles and one Obtuse angle. Real world example- Hangar
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Obtuse Triangle This hangar has two acute angles and one Obtuse angle
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Right Triangles Right Triangles are triangles with one right angle in them Real world example- square sandwich cut diagonally in half Right Triangles are triangles with one right angle in them Real world example- square sandwich cut diagonally in half
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Right Triangles The Right angle in the sandwich makes it a Right Triangle
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Equilateral Triangles An Equilateral Triangle is a triangle where all of the angles and sides are congruent. Real world example- Yield Sign An Equilateral Triangle is a triangle where all of the angles and sides are congruent. Real world example- Yield Sign
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Equilateral Triangle All of the angles and sides in this sign are congruent
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Isosceles Triangles An Isosceles triangle is any triangle with two or more congruent sides. Real world example- Hair clip An Isosceles triangle is any triangle with two or more congruent sides. Real world example- Hair clip
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Isosceles Triangles This hair clip has two congruent sides
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Scalene Triangle A Scalene Triangle is any triangle with no congruent sides or angles Real world example- A Scalene Triangle is any triangle with no congruent sides or angles Real world example-
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Scalene Triangle
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Pictures Sources Cookies-https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http%3A%2F%2Fwww.cookingclassy.com%2F2014%2F06%2Frecipe-one- chocolate-chip-cookie%2F&ei=iwDeVIq7ItPYggTK4oHIBw&bvm=bv.85970519,d.eXY&psig=AFQjCNG8YkOCR3XqCwy34iD0M17pBn4MOg&ust=1423921422800996 Road-https://mts1.googleapis.com/vt?pb=!1m4!1m3!1i8!2i59!3i95!2m3!1e0!2sm!3i292000000!2m6!1e2!2straffic!4m2!1soffset_polylines!2s0!5i1!3m15!2sen- US!3sUS!5e18!12m1!1e47!12m3!1e37!2m1!1ssmartmaps!12m5!1e14!2m1!1ssolid!2m1!1soffset_polylines!4e0 http://www.linecreekloudmouth.com/.a/6a01630272cfde970d01a73db40587970d-pi Landscape- http://s0.geograph.org.uk/geophotos/01/74/75/1747545_7fdca979.jpghttp://s0.geograph.org.uk/geophotos/01/74/75/1747545_7fdca979.jpg data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQQEBQUDxIVFA8UDxQUFQ8QFRUUFQ8UFBUWFhQUFBQYHCggGBolHRQUITEhJSkrLi8uFx8zODMsNygtMCsBCgoKDg0OFxAQGi0kHyQsLCws LCwsLSwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLP/AABEIALIBGwMBIgACEQEDEQH/xAAbAAACAwEBAQAAAAAAAAAAAAABBAACAwUGB//Pencils- data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQREhIUEhATFRUVFBUVFBQVFRMWGhIUFRUWFxQXGBUYHCggGBolHBQVITEhJSkrLi4uFx8zODMsNygtLisBCgoKDg0OGhAQGywkICQsLCwsN DIsLCwsLCwsLCwsLCwsLSwsLC4sLCwsLCwsLCwsNCwsLCwsLCwsLCwsLCwsLP/AABEIAIgBOQMBEQACEQEDEQH/xAAcAAEAAQUBABQECAwQIBgf/xABIEAACAQIBBAsNBwIFBQAAAAAAAQIDBB data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQHBhUUBxQWFhUUGB8aGBgXGB4eHhgfHx4cHB8kIBgdHygkHhwmGxsaIzEhKikrLi8uGh8zODQs= Sunlight rays- data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQSEhUUEhQWFRUUFRQWFRQUFBcUFBQUFBQWFhQVFRQYHCggGBolHBUUITEhJSkrLi4uFx8zODMsNygtLisBCgoKDg0OFxAQGiwkHyQsLCwvL C8sLCwsLCwsLCwvLCwsLCwsLCwsLCwsLCwsLCwsLC8sLCwsLCwsLCwsLCwsLP/AABEIALcBEwMBI data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQSEBUUEhQUFBUUFBQUFBQUFBUUFBQVFBQWFhQUFBQYHCggGBolHRQUITEhJSktLi4uFx8zODMsNygtLisBCgoKDg0OGhAQGywkHyQsLCwsL CwsLCwvLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLP/AABEIAMIBAwMBIgACEQEDEQH/xAAbAAABBQEBAAAAAAAAAAAAAAADAAECBAUGB// Pole-data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQSEBQQEhAVEhUUDw8QFRQUFRQPFRUSFBQWFhQVFBQYHCggGBo Cookies-https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http%3A%2F%2Fwww.cookingclassy.com%2F2014%2F06%2Frecipe-one- chocolate-chip-cookie%2F&ei=iwDeVIq7ItPYggTK4oHIBw&bvm=bv.85970519,d.eXY&psig=AFQjCNG8YkOCR3XqCwy34iD0M17pBn4MOg&ust=1423921422800996 Road-https://mts1.googleapis.com/vt?pb=!1m4!1m3!1i8!2i59!3i95!2m3!1e0!2sm!3i292000000!2m6!1e2!2straffic!4m2!1soffset_polylines!2s0!5i1!3m15!2sen- US!3sUS!5e18!12m1!1e47!12m3!1e37!2m1!1ssmartmaps!12m5!1e14!2m1!1ssolid!2m1!1soffset_polylines!4e0 http://www.linecreekloudmouth.com/.a/6a01630272cfde970d01a73db40587970d-pi Landscape- http://s0.geograph.org.uk/geophotos/01/74/75/1747545_7fdca979.jpghttp://s0.geograph.org.uk/geophotos/01/74/75/1747545_7fdca979.jpg data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQQEBQUDxIVFA8UDxQUFQ8QFRUUFQ8UFBUWFhQUFBQYHCggGBolHRQUITEhJSkrLi8uFx8zODMsNygtMCsBCgoKDg0OFxAQGi0kHyQsLCws LCwsLSwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLP/AABEIALIBGwMBIgACEQEDEQH/xAAbAAACAwEBAQAAAAAAAAAAAAABBAACAwUGB//Pencils- data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQREhIUEhATFRUVFBUVFBQVFRMWGhIUFRUWFxQXGBUYHCggGBolHBQVITEhJSkrLi4uFx8zODMsNygtLisBCgoKDg0OGhAQGywkICQsLCwsN DIsLCwsLCwsLCwsLCwsLSwsLC4sLCwsLCwsLCwsNCwsLCwsLCwsLCwsLCwsLP/AABEIAIgBOQMBEQACEQEDEQH/xAAcAAEAAQUBABQECAwQIBgf/xABIEAACAQIBBAsNBwIFBQAAAAAAAQIDBB data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQHBhUUBxQWFhUUGB8aGBgXGB4eHhgfHx4cHB8kIBgdHygkHhwmGxsaIzEhKikrLi8uGh8zODQs= Sunlight rays- data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQSEhUUEhQWFRUUFRQWFRQUFBcUFBQUFBQWFhQVFRQYHCggGBolHBUUITEhJSkrLi4uFx8zODMsNygtLisBCgoKDg0OFxAQGiwkHyQsLCwvL C8sLCwsLCwsLCwvLCwsLCwsLCwsLCwsLCwsLCwsLC8sLCwsLCwsLCwsLCwsLP/AABEIALcBEwMBI data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQSEBUUEhQUFBUUFBQUFBQUFBUUFBQVFBQWFhQUFBQYHCggGBolHRQUITEhJSktLi4uFx8zODMsNygtLisBCgoKDg0OGhAQGywkHyQsLCwsL CwsLCwvLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLP/AABEIAMIBAwMBIgACEQEDEQH/xAAbAAABBQEBAAAAAAAAAAAAAAADAAECBAUGB// Pole-data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEAAkGBxQSEBQQEhAVEhUUDw8QFRQUFRQPFRUSFBQWFhQVFBQYHCggGBo
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Picture Sources Pie- http://www.google.com/imgres?imgurl=http://15456d13098a54773ea9- bcf1ad37ada5be7227d2e6a4c20928bc.r8.cf2.rackcdn.com/i/pies/showcase/cherry.jpg&imgrefurl=http://www.villageinn.com/pies/&h=380&w=380&tbnid=3HL2R11LF9xhoM:&zoom=1&docid=M--zP- czNYZTZM&hl=en&ei=ar3eVOXhNMSig http://www.google.com/imgres?imgurl=http://2.bp.blogspot.com/_2sYI1ZAUz0U/TH_Kz585_ZI/AAAAAAAAA2Y/4FYVPsmhymI/s1600/Peach%252BBrie%252BPie%252Bslice.jpg&imgrefurl=http://imgkid.com/p each-pie-slice.shtml&h=1202&w=1600&tbnid=9oQBqyWVvTZujM:&zoom=1&docid=4qXG8cnmUMC8cM&hl=en&ei=ar3eVOXhNMSigwSKqoOYBQ&tbm=isch&ved=0CFsQMygiMCI Chairs- http://www.google.com/imgres?imgurl=http://pic.bedroomidea.us/medium/9/recliner%252520lift%252520chairs.jpg&imgrefurl=http://chairluxury.blogspot.com/2014/12/recliner-lift- chairs.html&h=532&w=853&tbnid=_QvmKMYTAUXddM:&zoom=1&docid=zcpVv9q5CTVK-M&hl=en&ei=c8neVIKmPIWVNpTAgugF&tbm=isch&ved=0CDkQMygIMAg 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http://www.google.com/imgres?imgurl=https://33.media.tumblr.com/tumblr_lq18ddc9Pw1qjmb49o1_500.gif&imgrefurl=https://www.tumblr.com/tagged/cross- gene%253Agif&h=332&w=500&tbnid=P8YzSlzEqE_5BM:&zoom=1&docid=xerkMFh9sqzKCM&hl=en&ei=T9neVICSC8nUgwTV9oL4BQ&tbm=isch&ved=0CDsQMygKMAo TV-https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http%3A%2F%2Fpixshark.com%2Fflat-screen-tv-png- file.htm&ei=QdzeVOGlEoHrggTGnIPwBw&psig=AFQjCNFnfokxoQrPRpPgCZQZk15WpqRhPA&ust=1423977696340448 Pizza-http://www.google.com/imgres?imgurl=http://i1036.photobucket.com/albums/a442/somtamslap/ar12031855262925_zpsaf38cea6.jpg&imgrefurl=http://teakdoor.com/the-teakdoor-lounge/134797- keep-your-half-out-top-shit.html&h=282&w=425&tbnid=Qcg7-qox9IAlgM:&zoom=1&docid=ofXEz_XdrZg8fM&hl=en&ei=0N7eVP2UAoGNgwTWwILgDA&tbm=isch&ved=0CDUQMygEMAQ Pie- http://www.google.com/imgres?imgurl=http://15456d13098a54773ea9- bcf1ad37ada5be7227d2e6a4c20928bc.r8.cf2.rackcdn.com/i/pies/showcase/cherry.jpg&imgrefurl=http://www.villageinn.com/pies/&h=380&w=380&tbnid=3HL2R11LF9xhoM:&zoom=1&docid=M--zP- czNYZTZM&hl=en&ei=ar3eVOXhNMSig http://www.google.com/imgres?imgurl=http://2.bp.blogspot.com/_2sYI1ZAUz0U/TH_Kz585_ZI/AAAAAAAAA2Y/4FYVPsmhymI/s1600/Peach%252BBrie%252BPie%252Bslice.jpg&imgrefurl=http://imgkid.com/p each-pie-slice.shtml&h=1202&w=1600&tbnid=9oQBqyWVvTZujM:&zoom=1&docid=4qXG8cnmUMC8cM&hl=en&ei=ar3eVOXhNMSigwSKqoOYBQ&tbm=isch&ved=0CFsQMygiMCI Chairs- http://www.google.com/imgres?imgurl=http://pic.bedroomidea.us/medium/9/recliner%252520lift%252520chairs.jpg&imgrefurl=http://chairluxury.blogspot.com/2014/12/recliner-lift- chairs.html&h=532&w=853&tbnid=_QvmKMYTAUXddM:&zoom=1&docid=zcpVv9q5CTVK-M&hl=en&ei=c8neVIKmPIWVNpTAgugF&tbm=isch&ved=0CDkQMygIMAg http://www.google.com/imgres?imgurl=http://m.mathblaster.com/Mathblaster/CoolMath/Article-Images/obtuse- angle.jpg&imgrefurl=http://www.mathblaster.com/coolmath/articles/angles&h=185&w=285&tbnid=U2ueyWWdwSZoGM:&zoom=1&docid=fbeK_SF-Lwf4MM&hl=en&ei=UczeVMW- A4SqggTGuYPwDg&tbm=isch&ved=0CDIQMygBMAE Clocks-http://www.google.com/imgres?imgurl=http://6ssatnist.files.wordpress.com/2010/06/3-o-clock.gif&imgrefurl=http://integratedsitevanatta.weebly.com/word- problems.html&h=700&w=700&tbnid=M16UpCBJTw3JvM:&zoom=1&docid=3XDJ2roEaaLGDM&hl=en&ei=bdLeVLvvGoGENqeAhLgI&tbm=isch&ved=0CCEQMygFMAU Cross- https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http%3A%2F%2Fcommons.wikimedia.org%2Fwiki%2FFile%3AGold_Christian_Cross_no_Red.svg&ei=UdneVOGjJZDBgwTrrID4CA&psig=AFQjCNEhW3D3hDs2atuaw3K0do5et3Tb1Q&ust=1423977167274585 http://www.google.com/imgres?imgurl=https://33.media.tumblr.com/tumblr_lq18ddc9Pw1qjmb49o1_500.gif&imgrefurl=https://www.tumblr.com/tagged/cross- 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THE END SURQAVIN HEMINGWAY
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