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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Consider the block letters A, D, N, O, and X. Which type of symmetry (line symmetry, point symmetry, both types, or neither type) is illustrated by each letter?

A ___________ D ___________
N ___________ O ___________
X ___________

To determine

To find:

The type of symmetry exists for the given letters.

Explanation

Given:

The given letters are,

A, D, N, O, and X

Definition:

A figure has symmetry with respect to a point P if for every point M on the figure, there is a second point N on the figure for which point P is the midpoint of MN¯.

A figure has symmetry with respect to a line 𝓁 if for every point X on the figure, there is a second point Y on the figure for which 𝓁 is the perpendicular bisector of XY¯.

Approach:

Take letter A as shown below.

Figure (1)

The above figure is symmetric about line.

Therefore, as shown in the above figure A has line symmetry.

Take letter D as shown below.

Figure (2)

The above figure is symmetric about a line

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