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# Geometry in Soccer

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by

Tweet## Caitlin Smith

on 10 December 2012#### Transcript of Geometry in Soccer

Geometry in Soccer By: Caitlin Smith the soccer field The field is symmetrical The Field Contains Quadrilaterals and Rectangles All corners of the paint are right angles Each Quadrilateral consists of two triangles 360 degrees This is a plane because it consists of three or more points. Three Points that are coplanar would be the two penalty kick spots in the Goalie box and the center of the field where the ball is kicked off. Two points that form a line are the two spots in the corner where you take your corner kick two points that form a line are the two spots where you take you goal kick. Angle 3 and angle 4 are alternate interior angles Angle 5 and angle 6 are consecutive interior angles Midpoint is equally between two points on a line 50 yds 50 yds 10 yds 10 yds Proportions Line of Reflection Since the soccer field is perfectly symmetrical when you reflect the field it appears the same A Soccer field does not have rotational symmetry The soccer field can also be dilated

4 2 1/2 Dilated by 1/2 5 8 Radius and Diameter 10 yds 5 yds and Reflected Semicircle Circumference 2 times pi times the radius 2(3.14)10=62.8 circumference(in.) 23 = 26

weight (oz.) 11 x x=13 Math is used all the time in soccer! Especially Geometry! Symmetrical: parts on either side of a central dividing line correspond to each other or are identical to each other Quadrilaterals: a shape with 4 sides

Rectangles: A quadrilateral with 2 pairs of opposite parallel lines,and 4 right angles form a 90 degree angle 2 triangles are each 180 degrees Co-planer: two or more points in the same plane A line is made up of at least two points Reflecting is a mirror image on the opposite side of the line of reflexion When an object is rotated is still appears the same as the original image The field is being multiplied by 1/2 Radius is from the center of the circle directly to the outer edge of the circle Diameter is the measurement of a line that goes straight through the center of a circle

The perimeter of the circle comparative relations

Full transcript4 2 1/2 Dilated by 1/2 5 8 Radius and Diameter 10 yds 5 yds and Reflected Semicircle Circumference 2 times pi times the radius 2(3.14)10=62.8 circumference(in.) 23 = 26

weight (oz.) 11 x x=13 Math is used all the time in soccer! Especially Geometry! Symmetrical: parts on either side of a central dividing line correspond to each other or are identical to each other Quadrilaterals: a shape with 4 sides

Rectangles: A quadrilateral with 2 pairs of opposite parallel lines,and 4 right angles form a 90 degree angle 2 triangles are each 180 degrees Co-planer: two or more points in the same plane A line is made up of at least two points Reflecting is a mirror image on the opposite side of the line of reflexion When an object is rotated is still appears the same as the original image The field is being multiplied by 1/2 Radius is from the center of the circle directly to the outer edge of the circle Diameter is the measurement of a line that goes straight through the center of a circle

The perimeter of the circle comparative relations