Transformations Worksheets
What are Geometric Transformations? The geometric transformation includes taking a preimage and molding or transforming it to obtain an image. Broadly, there are two types of geometric transformations: The non-rigid transformation that alters the size of the preimage while keeping the shape intact. The rigid transformation doesn't alter the size or shape of the preimage. Types of Transformation - Rigid and non-rigid transformations are further divided into different categories. Rotation, translation, and reflection fall in the rigid transformation, and dilation fall in the non-rigid category. Below we have briefly discussed each sub-category. Translation - It is a type of transformation that slides or moves across the plane or through space. In translation, all points of a figure move or slide in the same direction and cover the same distance. Rotation - As the name implies, rotation moves the figure about a line or point. It basically means to spin or turn the figure at a point. The point of turning or spinning is known as the center of rotation. This center can lie outside the figure or be present on the figure. Reflection - Reflection is a transformation that involves flipping the shape across the line to create a mirror image, in the mirror image, the measures of lines and angles are preserved. Dilation - Dilation is the transformation that involves expanding or contracting the shape without disturbing its orientation or shape.
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Basic Lesson
Guides students through the concept of transformations. Label the figure with the correct term. Translation (slide), Rotation (turn), Reflection (flip).
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Intermediate Lesson
Demonstrates how to identify a translation, rotation, or reflection.
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Independent Practice 1
Students determine is the transformation taking place is a translation, rotation, or reflection.
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Independent Practice 2
Students determine the type of transformation in 20 assorted problems. The answers can be found below.
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Basic Lesson
Demonstrates translations, rotations, and reflections with great detail. Draw the triangle after the transformations. A translation is a slide where the figure is moved either horizontally or vertically or both. A rotation is a turn around a point. A reflection is a flip of the figure over a line. The transformed figure is the mirror image of the original.
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Independent Practice 1
6 draw the triangle after the transformation problems. The answers can be found below. Draw the triangles after the transformations.
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Basic Lesson
Guides students through identifying translations from a variety of choices. A translation moves an object without changing its size or shape and without turning it or flipping it. The translation of an object is called its image.
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Intermediate Lesson
Demonstrates how to describe and apply translations. Describe the translation as horizontal of Vertical for the figures above. The object is flipped horizontally (left to right).
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Independent Practice 1
A really great activity for allowing students to reinforce the concept of Working with Translations.
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Independent Practice 2
Students Work with Translations in assorted problems. The answers can be found below.
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Independent Practice 3
An in-depth review of Working with Translations are found on this worksheet .
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Independent Practice 4
Students draw on past knowledge to solve this set of Working with Translations problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts of Working with Translations.
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Geometry Poem and Joke
Roses are red,
Violets are blue,
Greens' functions are boring
And so are Fourier transforms.
Want a quick problem solving tip? Here's one: The only angle
from which to approach a problem is the try-angle!