Geometry in The Real World By: Surqavin Hemingway

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

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

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 )  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 )  Real world example- Road I29

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

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 )  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 )  Real world example- Flat landscape

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

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 )  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 )  An example of a SEGMENT would be a Pencil

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

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.

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.

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 )  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 )  An example of COLLINEAR POINTS would be pole with multiple wires

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

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.

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

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.

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

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 )  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 )  Real World Example- Clock hands at 12 and 3

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

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 )  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 )  Real World Example- A Cross

PERPENDICULAR LINES  A Cross forms 4 right angles

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

COMPLEMENTARY ANGLES  The corners of the TV are COMPLEMENTARY ANGLES

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

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

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

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

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

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

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

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

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

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

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

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

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

Isosceles Triangles This hair clip has two congruent sides

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-

Scalene Triangle

Pictures Sources Cookies- chocolate-chip-cookie%2F&ei=iwDeVIq7ItPYggTK4oHIBw&bvm=bv ,d.eXY&psig=AFQjCNG8YkOCR3XqCwy34iD0M17pBn4MOg&ust= Road- US!3sUS!5e18!12m1!1e47!12m3!1e37!2m1!1ssmartmaps!12m5!1e14!2m1!1ssolid!2m1!1soffset_polylines!4e0 Landscape- 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- chocolate-chip-cookie%2F&ei=iwDeVIq7ItPYggTK4oHIBw&bvm=bv ,d.eXY&psig=AFQjCNG8YkOCR3XqCwy34iD0M17pBn4MOg&ust= Road- US!3sUS!5e18!12m1!1e47!12m3!1e37!2m1!1ssmartmaps!12m5!1e14!2m1!1ssolid!2m1!1soffset_polylines!4e0 Landscape- 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

Picture Sources  Pie- bcf1ad37ada5be7227d2e6a4c20928bc.r8.cf2.rackcdn.com/i/pies/showcase/cherry.jpg&imgrefurl= czNYZTZM&hl=en&ei=ar3eVOXhNMSig  each-pie-slice.shtml&h=1202&w=1600&tbnid=9oQBqyWVvTZujM:&zoom=1&docid=4qXG8cnmUMC8cM&hl=en&ei=ar3eVOXhNMSigwSKqoOYBQ&tbm=isch&ved=0CFsQMygiMCI  Chairs- chairs.html&h=532&w=853&tbnid=_QvmKMYTAUXddM:&zoom=1&docid=zcpVv9q5CTVK-M&hl=en&ei=c8neVIKmPIWVNpTAgugF&tbm=isch&ved=0CDkQMygIMAg  angle.jpg&imgrefurl= A4SqggTGuYPwDg&tbm=isch&ved=0CDIQMygBMAE  Clocks- problems.html&h=700&w=700&tbnid=M16UpCBJTw3JvM:&zoom=1&docid=3XDJ2roEaaLGDM&hl=en&ei=bdLeVLvvGoGENqeAhLgI&tbm=isch&ved=0CCEQMygFMAU  Cross-  gene%253Agif&h=332&w=500&tbnid=P8YzSlzEqE_5BM:&zoom=1&docid=xerkMFh9sqzKCM&hl=en&ei=T9neVICSC8nUgwTV9oL4BQ&tbm=isch&ved=0CDsQMygKMAo  TV- file.htm&ei=QdzeVOGlEoHrggTGnIPwBw&psig=AFQjCNFnfokxoQrPRpPgCZQZk15WpqRhPA&ust=  Pizza- 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- bcf1ad37ada5be7227d2e6a4c20928bc.r8.cf2.rackcdn.com/i/pies/showcase/cherry.jpg&imgrefurl= czNYZTZM&hl=en&ei=ar3eVOXhNMSig  each-pie-slice.shtml&h=1202&w=1600&tbnid=9oQBqyWVvTZujM:&zoom=1&docid=4qXG8cnmUMC8cM&hl=en&ei=ar3eVOXhNMSigwSKqoOYBQ&tbm=isch&ved=0CFsQMygiMCI  Chairs- chairs.html&h=532&w=853&tbnid=_QvmKMYTAUXddM:&zoom=1&docid=zcpVv9q5CTVK-M&hl=en&ei=c8neVIKmPIWVNpTAgugF&tbm=isch&ved=0CDkQMygIMAg  angle.jpg&imgrefurl= A4SqggTGuYPwDg&tbm=isch&ved=0CDIQMygBMAE  Clocks- problems.html&h=700&w=700&tbnid=M16UpCBJTw3JvM:&zoom=1&docid=3XDJ2roEaaLGDM&hl=en&ei=bdLeVLvvGoGENqeAhLgI&tbm=isch&ved=0CCEQMygFMAU  Cross-  gene%253Agif&h=332&w=500&tbnid=P8YzSlzEqE_5BM:&zoom=1&docid=xerkMFh9sqzKCM&hl=en&ei=T9neVICSC8nUgwTV9oL4BQ&tbm=isch&ved=0CDsQMygKMAo  TV- file.htm&ei=QdzeVOGlEoHrggTGnIPwBw&psig=AFQjCNFnfokxoQrPRpPgCZQZk15WpqRhPA&ust=  Pizza- 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

THE END SURQAVIN HEMINGWAY