Mathematics
An angle having equal arms possesses how many lines of symmetry? Show all possible lines of symmetry in such an angle.
Answer
An angle with equal arms possesses one line of symmetry.
The line of symmetry is the angle bisector.
This is the line that passes through the vertex of the angle and divides it into two equal parts. If we fold the angle along this bisector, the two arms will coincide perfectly.
∴ One line of symmetry, i.e., its angle bisector.
Related Questions
Which of the following figures has only one line of symmetry?
(i) A rectangle
(ii) A parallelogram
(iii) An isosceles trapezium
(iv) A circle
How many lines of symmetry does a scalene triangle have?
A square and a rectangle have :
(i) only one line of symmetry each
(ii) two lines of symmetry each
(iii) four lines of symmetry each
(iv) an unequal number of lines of symmetry
A rhombus has :
(i) one line of symmetry
(ii) two lines of symmetry
(iii) four lines of symmetry
(iv) no line of symmetry