Some of the English letters depicts symmetrical structures. Which one of the following structures of letters has not linear symmetry about both horizontal and vertical axes ?
U
A letter has linear symmetry about the vertical axis if its left half is a mirror image of its right half, and about the horizontal axis if its top half is a mirror image of its bottom half.
The letter O is symmetric about both axes, since it looks the same when folded top-to-bottom or left-to-right.
The letter X is symmetric about both axes for the same reason.
The letter H is symmetric about both axes as well, since its top and bottom halves match, and its left and right halves match.
The letter U is symmetric about the vertical axis, but folding it about the horizontal axis does not make the open top match the rounded bottom, so it does not have linear symmetry about the horizontal axis.
Hence, the structure of the letter U does not have linear symmetry about both the horizontal and vertical axes.
Similar Questions
ABCD is a quadrilateral in which \(AB=BC\) and \(CD=AD\). This quadrilateral has:
Important Questions from Symmetry and Reflection
Number of lines of symmetry in a square is -
The curve given by xy = 15 is symmetrical about what?
- Which of the following letters does not have rotational symmetry?
- Nitu is always confused in identifying the transformations. Her mathematics teacher helped her by giving one simple word for each transformation namely : Reflection, Rotation, Translation and Enlargement.
Which of the following represents the correct sequence of meaning of each transformation as given above?
(1) Flip, Slide, Turn and Bigger Figure
(2) Turn, Slide, Flip and Bigger Figure
(3) Flip, Turn, Slide and Bigger Figure
(4) Slide, Flip, Turn and Bigger Figure - Which of the following has/have only two lines of symmetry?
A. Equilateral triangle
B. Rectangle
C. Rhombus
D. Isosceles triangle
Choose the correct option.
