5. Draw a geometrical shape having:
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
(e) five lines of symmetry
(f) infinite lines of symmetry
Draw the corresponding axis of symmetry for each.
6. Make two points in your notebook and draw the line of symmetry.
7. Draw a colourful rangoli design which is symmetrical. Indicate its line(s) of
symmetry
Answers
Lines of Symmetry:
- The line of symmetry is the line which passes through the center of the object or any geometrical shape.
- It is known as the axis or imaginary line of the object.
- In geometry, we are familiar with the term symmetry which is defined as a balanced and a proportionate similarity found in two halves of an object.
- Where one-half is the mirror image of the other half.
- For example, if we cut an apple in two equal halves, then the one piece of apple is said to be in symmetry with another.
- One more good example is to imagine if we cut an equilateral triangle into two equal halves, then the two triangles which are formed after the intersection is the right-angled triangles.
- Few more examples such as circle, square, rectangle, can also be considered for line symmetry.
(a) Isosceles right-angled triangle has exactly one line of symmetry.
(b) Rectangle has exactly two lines of symmetry.
(c) An equilateral triangle has three lines of symmetry.
(d) A Square has four lines of symmetry.
(e) A regular pentagon has 5 sides and 5 lines of symmetry.
(f) A circle has infinite or no lines of symmetry. It is symmetrical along all its diameters.
(6) Draw a line segment and divide the line exactly into 2 equal parts. Draw the line of symmetry.
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Answer: Answers are written below subpart wise.
Step-by-step explanation:
5. Draw a geometrical shape having:
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
(e) five lines of symmetry
(f) infinite lines of symmetry
Draw the corresponding axis of symmetry for each.
6. Make two points in your notebook and draw the line of symmetry.
7. Draw a colourful rangoli design which is symmetrical. Indicate its line(s) of
symmetry
Lines of Symmetry:
The line of symmetry is the line which passes through the center of the object or any geometrical shape.
It is known as the axis or imaginary line of the object.
In geometry, we are familiar with the term symmetry which is defined as a balanced and a proportionate similarity found in two halves of an object.
Where one-half is the mirror image of the other half.
For example, if we cut an apple in two equal halves, then the one piece of apple is said to be in symmetry with another.
One more good example is to imagine if we cut an equilateral triangle into two equal halves, then the two triangles which are formed after the intersection is the right-angled triangles.
Few more examples such as circle, square, rectangle, can also be considered for line symmetry.
(a) Isosceles right-angled triangle has exactly one line of symmetry.
(b) Rectangle has exactly two lines of symmetry.
(c) An equilateral triangle has three lines of symmetry.
(d) A Square has four lines of symmetry.
(e) A regular pentagon has 5 sides and 5 lines of symmetry.
(f) A circle has infinite or no lines of symmetry. It is symmetrical along all its diameters.
(6) Draw a line segment and divide the line exactly into 2 equal parts. Draw the line of symmetry.
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