AP Board 7th Class Maths Solutions Chapter 15 Symmetry InText Questions

AP State Syllabus AP Board 7th Class Maths Solutions Chapter 15 Symmetry InText Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 15th Lesson Chapter 15 Symmetry InText Questions

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Question 1.
What is the angle of rotational symmetry of a square ? (Page No. 285)
Solution:
90°

Question 2.
What is the angle of rotational symmetry of a parallelogram ? (Page No. 285)
Solution:
180°

Question 3.
What is the angle of rotational symmetry of a circle ? (Page No. 285)
Solution:
The circle can be rotated through any angle to get rotational symmetry.

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Question 1.
Name a few things in nature, that are symmetric. (Page No. 278)
Solution:
The things which have symmetry in nature are

1. An apple.
2. The Moon, the Sun and the Earth.
3. Head (face) of a tiger.
4. A human being face.
5. A rose flower.

Question 2.
Name 5 man made things that are symmetric. (Page No. 278)
Solution:

1. Awheel.
2. Square shaped cake.
3. A tube.
4. A Maths textbook.
5. A Cricket ball.

Question 3.
i) Can you now tell the order of rotational symmetry for an equilateral triangle. (Page No. 285)

ii) How many lines of symmetry ?
iii) What is the angle between every adjacent axes ?
Solution:
i) Order of rotational symmetry for an equilateral triangle = 120°
ii) 3 lines.
iii)120°

Question 4.
Look around you. Name five objects which have rotational symmetry (i.e rational symmetry of order more than 1). (Page No. 285)
Solution:
Circle, wheel, square etc.

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Question 1.
Can we make a polygon with less than three line segments ? (Page No. 279)
Solution:
No. We can t make a polygon with less than three line segments.

Question 2.
What is the minimum number of sides of a polygon ? (Page No. 279)
Solution:
Minimum number of sides of a polygon is 3.

Question 3.
Given below are three types of triangles. Do all the triangles have the same number of lines of symmetry ? Which triangles has more ? (Page No. 279)

Solution:

An equilateral triangle has more number of lines of symmetry.

Question 4.
Given below are different types of quadrilaterals. Do all of them have the same number of lines of symmetry ? Which quadrilateral has the most ? (Page No. 281)
Solution:

By folding also we conclude that a regular polygon has the maximum number of lines / axes of symmetry.
In the above case a square has maximum number of axes of symmetry.
All of them do not have the same number of axes of symmetry.