Question

Are the following letters of English alphabet symmetrical about a line?
Identify \[(i). A\], \[(ii). C\], \[(iii). D\], \[(iv). L\], \[(v). P\], \[(vi). M\], \[(vii). U\], \[(viii). V\] and \[(ix). T\]

Answer 1

Hint: The line of symmetry (symmetrical about a line) can be defined as the axis line that can pass through the centre of the shape and divides it into identical halves. We say that, it could be a mirror image of the shape. To find an alphabet symmetrical about a line, draw a line vertical or horizontal or closely for any lines of symmetry.

Complete step-by-step answer:
\[(i). A\]
If we draw a vertical line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[A\] is symmetrical about a line.
\[(ii). C\]
If we draw a horizontal line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[C\] is symmetrical about a line.
\[(iii)D\]
If we draw a horizontal line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[D\] is symmetrical about a line
\[(iv)L\]
We cannot draw a vertical or a horizontal or closely for any lines of symmetry.
The English alphabet \[L\] is not symmetrical about a line
\[(v)P\]
We cannot draw a vertical or a horizontal or closely for any lines of symmetry.
The English alphabet \[P\] is not symmetrical about a line
\[(vi)M\]
if we draw a vertical line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[M\]is symmetrical about a line
\[(vii)U\]
if we draw a vertical line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[U\]is symmetrical about a line.
\[(viii)V\]
if we draw a vertical line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[V\]is symmetrical about a line
\[(ix)T\]
if we draw a vertical line in the middle
               

Here, the line of symmetry creates two congruent figures that are mirror images of each other.
The English alphabet \[T\]is symmetrical about a line.

Note: The letters \[A, C, D, M, U, V, T\] are one line of symmetry
English alphabets with no line of symmetry are:
\[F, {\text{ }}G, {\text{ }}J, {\text{ }}L, {\text{ }}N, {\text{ }}P, {\text{ }}Q, {\text{ }}R,{\text{ }}S, {\text{ }}Z\]
Here we do \[\;P\] and \[L\] has no line of symmetry.