Question

Name three types of rigid transformations.

   Name three types of rigid transformations.

College Algebra: Real Mathematics, Real People

College Algebra: Real Mathematics, Real People

Ron Larson 7th Edition

Chapter 1, Problem 1

Instant Answer

Solved by Expert Ankit Gupta

07/27/2020

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Translation: This transformation involves moving a figure from one location to another without changing its size or orientation. Show more…

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Name three types of rigid transformations.

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Key Concepts

Rigid Transformations

Rigid transformations are operations in geometry that reposition a figure without altering its shape or size. They preserve distances and angles, meaning that the original figure and the transformed figure are congruent. These transformations form the basis for understanding movement and symmetry in various geometric contexts.

Translation

A translation is a type of rigid transformation that slides every point of a geometric figure by the same distance in a given direction. This operation shifts the entire figure from one location to another without any rotation or reflection, maintaining its orientation and dimensions.

Rotation

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle. Despite the rotation, the distances and angles within the figure remain constant, preserving its overall shape and size.

Reflection

Reflection involves flipping a figure over a designated line, called the line of reflection, to produce a mirror image. This transformation retains the distances and angles from the original figure, ensuring congruency while changing its orientation.

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