Sec 1 1 transformation in the coordinate plane 2025

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Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation. In the 19th century, Felix Klein proposed a new perspective on geometry known as transformational geometry. Most of the proofs in geometry are based on the transformations of objects.
0:05 3:11 So lets look the pre-image is translated or slid to the left five units. So we go 1 2 3 4 5 thatMoreSo lets look the pre-image is translated or slid to the left five units. So we go 1 2 3 4 5 that shows five units.
Coordinate transformations are often used to define often used to define new coordinate systems on the plane. The u-curves of the transformation are the images of vertical lines of the form u = constant and the v-curves are images of horizontal lines of the form v = constant.
The coordinate plane is divided into four sections, called quadrants. Quadrant I has positive x and y values, Quadrant II has negative x and positive y, Quadrant III has negative x and y, and Quadrant IV has positive x and negative y. The point (-7,7) is in Quadrant II.
180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesnt change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b).
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