The number of capital letters such as A, B, C, D which are not laterally inverted by a plane mirror?
Answer
620.7k+ views
Hint:The interchange of the left and right sides in the image of an object in a plane mirror is called lateral inversion.
Complete step by step solution:
The interchange of left side and right side in image of the object when reflected by a plane mirror is called lateral inversion.
Cause of Lateral inversion: In a plane mirror, the image is as for behind the mirror as the object is in front of it and that the front of the image and the front of the object face each other. This is the cause of lateral inversion in the mirror. It is important to note-down the fact that mirrors always do sideways inversion not top to down in version.
One of the important thing that is kept in mind is that only those letters in English alphabets will show lateral inversion which are symmetric, By symmetric here it is meant that alphabet should have vertical line of symmetry not the horizontal line of symmetry let us categorize the alphabets according to lines of symmetry letters with O line of symmetry are F, G, J, L, L, N, P, Q, R, S, Z letters with vertical line of symmetry are A, H, I, M, N, O, T, U, V, W, X, Y. letters with horizontal line of symmetry are B, C, D, E, I, H, O, X no lateral inversion is observed in case of vertical line of symmetry which is present in following alphabets A, H, I, M, O, T, U, V, W, X, Y.
Total 11 capital letters are there which are not laterally invested.
Note: It has to be noted that vertical lines of symmetry should be present in order to not get laterally invested by a plane mirror.
Complete step by step solution:
The interchange of left side and right side in image of the object when reflected by a plane mirror is called lateral inversion.
Cause of Lateral inversion: In a plane mirror, the image is as for behind the mirror as the object is in front of it and that the front of the image and the front of the object face each other. This is the cause of lateral inversion in the mirror. It is important to note-down the fact that mirrors always do sideways inversion not top to down in version.
One of the important thing that is kept in mind is that only those letters in English alphabets will show lateral inversion which are symmetric, By symmetric here it is meant that alphabet should have vertical line of symmetry not the horizontal line of symmetry let us categorize the alphabets according to lines of symmetry letters with O line of symmetry are F, G, J, L, L, N, P, Q, R, S, Z letters with vertical line of symmetry are A, H, I, M, N, O, T, U, V, W, X, Y. letters with horizontal line of symmetry are B, C, D, E, I, H, O, X no lateral inversion is observed in case of vertical line of symmetry which is present in following alphabets A, H, I, M, O, T, U, V, W, X, Y.
Total 11 capital letters are there which are not laterally invested.
Note: It has to be noted that vertical lines of symmetry should be present in order to not get laterally invested by a plane mirror.
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