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GEOMETRIC-TRANSFORMATION modern geometry.pptx
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- 2. INTRODUCTI ON Lorem ipsumdolor sit amet, consectetur adipiscing elit. Duis vulputate nulla at ante rhoncus, vel efficitur felis condimentum. Proin odio odio. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Duis vulputate nulla at ante rhoncus, vel efficitur felis condimentum. Proin odio odio.
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- 4. INTRODUCTI ON • Reversible: Geometrictransformations can be reversed, meaning that the original object can be recovered from the transformed object. • Combinable: Geometric transformations can be combined in sequence to produce more complex transformations. • Preserve shape: Geometric transformations do not change the shape of an object, only its size, position, or orientation.
- 5. Geometric transformation • isa bijection of a set that has a geometric structure by itself or another set. • If a shape is transformed, its appearance is changed. • After that, the shape could be congruent or similar to its preimage. • The actual meaning of transformations is a change of appearance of something.
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- 11. Reflection at origin(0, 0) In the coordinate plane, we can use any point as the point of reflection. The most commonly used point is “origin”.
- 12. • Let ABCbe the triangle, and the coordinates are A(1,4), B(1,1), and C(5,1). After the point of reflection in origin, the pre-image ABC is transformed into A’B’C’. When you draw a line segment connecting the points A and A’, the origin should be the midpoint of the line. Therefore: • The point of reflection in origin (0, 0), the image of the point (x, y) is (-x, -y). • Hence, the coordinates of the triangle A’B’C are A’(-1,-4), B’(-1,-1), and C’(-5,-1). .
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- 18. CONCLUSION: • Geometric transformationsinvolve changing the size, position, or orientation of a geometric object. • There are five main types of transformations: translations, rotations, reflections, dilations, and glide reflections.
- 19. THE END WARNER &SPENCER MARCH 2023 THANK YOU