Question

Determine whether the figure has line symmetry, rotational symmetry, both, or neither. If the figure has line symmetry, determine the number of lines of symmetry. If the figure has rotational symmetry, describe any rotations that map the figure onto itself.

Name: Problem 55, Chapter 11: Geometry A Common Core Curriculum
Uploaded: 2020-05-28T23:50:37-08:00
Duration: 36 s
Channel: Katelyn Chen
Description: Determine whether the figure has line symmetry, rotational symmetry, both, or neither. If the figure has line symmetry, determine the number of lines of symmetry. If the figure has rotational symmetry, describe any rotations that map the figure onto itself.

   Determine whether the figure has line symmetry, rotational symmetry, both, or neither. If the figure has line symmetry, determine the number of lines of symmetry. If the figure has rotational symmetry, describe any rotations that map the figure onto itself.

Geometry A Common Core Curriculum

Ron Larson, Laurie… 1st Edition

Chapter 11, Problem 55

Instant Answer

Solved by Expert Katelyn Chen

05/28/2020

Step 1

This means that if we draw a line through the figure, the figure should be the same on both sides of the line. However, as per the explanation, if we draw a line through the figure, it won't be symmetrical. Hence, the figure does not have line symmetry. Show more…

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Determine whether the figure has line symmetry, rotational symmetry, both, or neither. If the figure has line symmetry, determine the number of lines of symmetry. If the figure has rotational symmetry, describe any rotations that map the figure onto itself.

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Key Concepts

Line Symmetry

Line symmetry, also known as reflection symmetry, occurs when a figure can be divided by a line such that one side is a mirror image of the other. This concept involves finding one or more lines (axes) through the figure where each point on one side has a corresponding point directly opposite on the other side. It is essential for determining how many symmetrical divisions a figure has.

Rotational Symmetry

Rotational symmetry exists when a figure can be rotated about a central point by a certain angle, less than 360 degrees, and still look identical to its original position. This concept involves identifying the angle or order of rotation that maps the figure onto itself, and is crucial for analyzing how the figure maintains its appearance under rotational transformations.

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