Presentation is loading. Please wait.

Presentation is loading. Please wait.

Geometry in The Real World By: Surqavin Hemingway.

Similar presentations


Presentation on theme: "Geometry in The Real World By: Surqavin Hemingway."— Presentation transcript:

1 Geometry in The Real World By: Surqavin Hemingway

2 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

3 POINT I chose these pictures because the chocolate chips represent POINTS in the cookies.

4 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

5 LINE I chose these pictures because this highway goes on almost forever like a LINE.

6 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

7 PLANE  These pictures show how the landscape is a flat surface

8 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

9 SEGMENT  These pictures show that the pencils have two endpoints, therefore they are called SEGMENTS.

10 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.

11 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.

12 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

13 COLLINEAR POINTS  I chose this picture because it shows the multiple points on the pole where the wires touch it.

14 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.

15 ACUTE ANGLE  The pie is an ACUTE ANGLE because it is less than 90 degrees.

16 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.

17 OBTUSE ANGLE  The picture shows that when the recliner is back, it’s an OBTUSE ANGLE.

18 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

19 RIGHT ANGLE  These pictures show how the clock hands form a RIGHT ANGLE.

20 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

21 PERPENDICULAR LINES  A Cross forms 4 right angles

22 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

23 COMPLEMENTARY ANGLES  The corners of the TV are COMPLEMENTARY ANGLES

24 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

25 SUPPLEMENTARY ANGLES  The pizza is 180 degrees making it a supplementary angle.

26 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

27 Vertical Angles This sign forms 2 sets of vertical angles at the top/bottom, and left/right

28 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

29 Acute Triangle All of the angles are acute, forming an Acute Triangle.

30 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

31 Obtuse Triangle This hangar has two acute angles and one Obtuse angle

32 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

33 Right Triangles The Right angle in the sandwich makes it a Right Triangle

34 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

35 Equilateral Triangle All of the angles and sides in this sign are congruent

36 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

37 Isosceles Triangles This hair clip has two congruent sides

38 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-

39 Scalene Triangle

40 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

41 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  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- 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- 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

42 THE END SURQAVIN HEMINGWAY


Download ppt "Geometry in The Real World By: Surqavin Hemingway."

Similar presentations


Ads by Google