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This document covers key geometric transformations including translation, enlargement, and rotation. It explains how shapes can be moved, resized, and turned while maintaining their fundamental properties.
12/22/2022
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This page provides an overview of three fundamental geometric transformations: translation, enlargement, and rotation. These concepts are essential in understanding rotation and enlargement in mathematics.
Translation refers to the movement of a shape without altering its appearance. In this process, each vertex of the shape is moved in exactly the same way.
Example: The image shows a shape being translated 5 units to the right.
Definition: Translation is the process of moving a shape in a straight line without rotating, reflecting, or resizing it.
Enlargement involves changing the size of a shape while maintaining its proportions. This transformation is described using a scale factor.
Vocabulary: Scale factor is the multiplier that determines how much larger or smaller the new shape is compared to the original.
Example: A scale factor of 2 means the new shape's side lengths are twice those of the original, while a scale factor of 3 results in side lengths three times the original.
Highlight: When describing enlargements, it's crucial to state the scale factor.
Rotation involves turning a shape around a fixed point, known as the center of rotation.
Example: The diagram illustrates various degrees of rotation, including a quarter turn, half turn, three-quarter turn, and a full turn (360 degrees).
Definition: Rotation is the circular movement of a shape around a fixed point without changing its size or shape.
These transformations are fundamental in geometry and are often featured in GCSE level mathematics, including topics like how to translate and enlarge shapes in geometry.
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ishyy♡
@ishy
·
19 Followers
Follow
This document covers key geometric transformations including translation, enlargement, and rotation. It explains how shapes can be moved, resized, and turned while maintaining their fundamental properties.
This page provides an overview of three fundamental geometric transformations: translation, enlargement, and rotation. These concepts are essential in understanding rotation and enlargement in mathematics.
Translation refers to the movement of a shape without altering its appearance. In this process, each vertex of the shape is moved in exactly the same way.
Example: The image shows a shape being translated 5 units to the right.
Definition: Translation is the process of moving a shape in a straight line without rotating, reflecting, or resizing it.
Enlargement involves changing the size of a shape while maintaining its proportions. This transformation is described using a scale factor.
Vocabulary: Scale factor is the multiplier that determines how much larger or smaller the new shape is compared to the original.
Example: A scale factor of 2 means the new shape's side lengths are twice those of the original, while a scale factor of 3 results in side lengths three times the original.
Highlight: When describing enlargements, it's crucial to state the scale factor.
Rotation involves turning a shape around a fixed point, known as the center of rotation.
Example: The diagram illustrates various degrees of rotation, including a quarter turn, half turn, three-quarter turn, and a full turn (360 degrees).
Definition: Rotation is the circular movement of a shape around a fixed point without changing its size or shape.
These transformations are fundamental in geometry and are often featured in GCSE level mathematics, including topics like how to translate and enlarge shapes in geometry.
Average App Rating
Students use Knowunity
In Education App Charts in 12 Countries
Students uploaded study notes
iOS User
Stefan S, iOS User
SuSSan, iOS User
