For those of you who study mathematics, you are certainly familiar with the term geometric transformation. Quoting the Big Indonesian Dictionary or KBBI, transformation is a change in appearance such as form, nature, function, and so on. Meanwhile, geometry is a branch of mathematics that deals with the properties of lines, angles, planes and space.
So, what is a geometric transformation? If we try to interpret it in general, geometric transformation is a branch of geometry that discusses changes in the position or shape of a geometric object. For more details, see the explanation below!
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1. What is a geometric transformation?
illustrative mathematics (pexels.com/Péter Miklós)
Quoting the Ministry of Education and Culture’s page in the Class XI General Mathematics Learning Module by Istiqomah, S.Pd, what geometric transformations are completely explained. Geometric transformation is a change in the position and size of an object (point, line, curve, plane) and can be expressed in images and matrices.
Meanwhile, a matrix is an arrangement of a group of numbers in a rectangular array arranged by rows and columns and enclosed in brackets. So, at this point you also have an understanding of what is meant by geometric transformation, right?
2. Types of geometric transformations
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math illustration (pexels.com/MART Productions)
Still quoting the same module, geometric transformations are divided into four types. Among them are translation, rotation, reflection and dilation. To understand it further, you can read the review below.
- Translation: A transformation that moves points on a plane in a certain direction and distance. Translation is a shifting movement. For example, when we move tables or chairs.
- Rotation: A transformation that moves points by rotating them by a certain angle or direction relative to a fixed point. The point remains the center of rotation. For example, when you see the rotation of a bicycle wheel.
- Reflection: A transformation that moves each point on a plane using the image properties of a mirror. So reflection is reflection as we do when we look in the mirror.
- Dilation: A transformation that changes the distance of points with a certain multiplier factor (number used to multiply) to a certain point. For example, when we collect photos in various sizes, for example 2cm x 3cm and 4cm x 6cm. These photos come from the same file that can be printed in various sizes. This is an example of dilation. So, if simplified, dilation is a type of transformation that has a different image size than the original image.
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2023-12-29 06:15:00
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