What is an isometry? Show Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher) That’s the key question we’re going to solve in today’s geometry lesson. You’re going to learn what an isometry is and is not. Also, you’ll gain a broad overview of all types of rigid motions in a plane. Let’s get to it! So by definition, an isometry is a rigid transformation. It’s true! Going further, a transformation maps or moves an initial image (preimage) onto a final image (image). Isometric Transformation Some of the basic mapping or moving of a figure in a plane are sliding, flipping, turning, enlarging, or reducing to create new figures. The four major types of transformations are:
Types of Transformations But of the four basic types of transformations, only three are isometric.
Isometric Transformations
In other words, the preimage and the image are congruent, as Math Bits Notebook accurately states. Therefore, translations, reflections, and rotations are isometric, but dilations are not because the image and preimage are similar figures, not congruent figures. In the video below, you’ll learn how to:
Video – Lesson & Examples46 min
Get access to all the courses and over 450 HD videos with your subscription Monthly and Yearly Plans Available Get My Subscription Now Still wondering if CalcWorkshop is right for you? Are all transformations isometric?Therefore, translations, reflections, and rotations are isometric, but dilations are not because the image and preimage are similar figures, not congruent figures. In the video below, you'll learn how to: Name and describe the three isometric transformations.
Which of these transformations are isometric?There are three kinds of isometric transformations of 2 -dimensional shapes: translations, rotations, and reflections.
Are isometric transformations similarity transformations?All isometric transformations are similarity transformations. From this Venn diagram we learn that congruence is a subset of similarity. Congruence requires both same shape and same size whereas similarity only requires same shape.
Which types of transformations are isometric or rigid motion?There are many ways to move two-dimensional figures around a plane, but there are only four types of isometries possible: translation, reflection, rotation, and glide reflection. These transformations are also known as rigid motion.
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