Transformation Geometry

Running head : TRANSFORMATION GEOMETRY

Transformation Geometry

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Transformation Geometry

This project is aimed in showing its readers how a figure may be transformed and be associated with the initial points , and how such points may be altered as a shift is made . This gives us an idea that an image may be rotated or moved . Regardless of time and place , this gives the opportunity for people to actually use a system in geometry in accurately doing things

Even workers

in a garment company make use of such transformation . This is called a line reflection . Line reflection is used in cutting the pieces of garment faster and more accurately , and making sure that it is still the right fit . For this project , I chose a figure that is rectangular in shape . I used this figure to show the x and y-axis , and translated the original figure by making a 90-degree counterclockwise rotation

What is transformation ? Transformation is defined as the change in position , while having numerous points . Planes also have transformations , just as the objects experience a change in position There are also times that the points do not move , and remain in a fixed position

Reflection , on the other hand , is known as the plane transformation This means that the points in the plane are transformed or moved to another position . The same absolute value is used in the reflection of a point . These are usually changed from positive to negative . The reflected image appears on the plane on the line

For this , I have pointed the y-axis in the original image . Also , I have observed that the slope was changed from positive to negative and negative , then negative to positive . Unfortunately , the slope did not change when the original was used . In the coordinate plane , the origin is 0 (0 ,0 , where all points are possible . An ABCD image may be seen as A 'B 'C 'D . The reflection of the line over the y-axis is changed making the slope change as well . Take for example , I have a rectangular shaped object . AB is a straight line , and I will use its points to show the changes made from the original to the reflection . Point A has coordinates of (3 ,4 ) and point B has (8 ,12 . Therefore , the equation is y x 1 . The reflection , on the other hand , for point A becomes (-3 ,7 and point B becomes (-8 ,12 . This changes the equation to y -x 4

Furthermore , the slope for the reflection of point AB remains the same Unfortunately , the absolute is changed with the Y intercept , changing it from negative to positive , then positive to negative . For example , AB is equal to y x 4 , with point A being (3 ,7 . The point is changed to y x - 4 after reflection

Reflection of segment AB over X-axis changes the slope and they intercept from positive to negative and negative to positive . For example , segment AB origin...