Exercise 15.2
1. In the figures given below find the axes of symmetry such that on folding along the axis the two dots fall on each other.
The circle has
Equilateral triangle has
A square has
A regular pentagon has
A regular hexagon has
2. Given the line of symmetry, find the other dot.
The circle has
Equilateral triangle has
A square has
A regular pentagon has
A regular hexagon has
3. In the following incomplete figures, the mirror line(i.e.,the line of symmetry) is given as a dotted line. Complete each figure, performing reflection on the dotted(mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image).Are you able to recall the name of the figure you complete?
4. State whether the following statements are true or false.
(i)
(i) Every closed figure has an axis of symmetry.
(ii)
(ii) A figure with at least one axis of symmetry is called a symmetric figure.
(iii)
(iii) A regular polygon of 10 sides will have 12 axes of symmetry.
5 Draw a square rand construct all its axes of symmetry. Measure the angles between each pair of successive axes of symmetry. What do you notice? Does the same rule apply for other regular polygons?
Solution:
A square has