AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise

SCERT AP 7th Class Maths Solutions Pdf Chapter 12 Symmetry Unit Exercise Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 12th Lesson Symmetry Unit Exercise

Question 1.
Fill in the blanks.
(i) A figure has _______ symmetry if there is a line about which the figure may be folded so that the two parts of the figure coincide.
Answer:
Line

(ii) A regular pentagon has _______ line of symmetry.
Answer:
Five

(iii) A figure has _______ symmetry if after a rotation through a certain angle. The figure looks exactly the same.
Answer:
Rotational

(iv) A _______ triangle has no lines of symmetry.
Answer:
Scalene

(v) Each regular polygon has as many lines of symmetry as it has _______
Answer:
Number of sides

(vi) The concept of line symmetry is closely related to _______ reflection.
Answer:
Mirror

(vii) The quadrilateral that has four lines of symmetry and order-four rotational symmetry is a _______
Answer:
Square

(viii) The angle of rotational symmetry for letter S is _______
Answer:
180°

(ix) A line segment is symmetrical about its _______
Answer:
Perpendicular bisector

(x) Station turns an object about a fixed point. The fixed point is called _______
Answer:
Point of rotation

AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise

(xi) Each of the letters H, N, S and Z has a rotational symmetry of order _______
Answer:
2

(xii) The line of symmetry of an isosceles triangle is it’s _______ from the vertex having the equal sides.
Answer:
Median/altitude/angular bisector

Question 2.
Cut the capital letters of English and paste them in your note book. Draw possible number of lines of symmetry for each of the letter.
(i) How many letters have no line of symmetry? What are thpy?
Answer:
10. They are F, G, J, L, N, P, Q, R, S, Z.

(ii) How many letters have one line of symmetry? What are they?
Answer:
12. They are A, B, C, D, E, K, M, T, U, V, W, Y.

(iii) How many letters have two lines of symmetry? What are they?
Answer:
3. They are H, I, X.

(iv) How many letters have more than two lines of symmetry? What are they?
Answer:
1. That is 0.

AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise

(v) Which of them have rotational symmetry? What are they?
Answer:
4. They are H, I, 0, X.

(vi) Which of them have point symmetry? What are they?
Answer:
7. They are H, I, N, 0, S, X, Z.

Question 3.
Draw some natural objects which have at least one line of symmetry.
Answer:
AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise 1

Question 4.
Draw three tessellations and expose the basic shapes used on your tessellation.
Answer:
AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise 2

AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise

Question 5.
Construct a line segment of length 7cm. Draw possible line(s) of symmetry.
Answer:
AP Board 7th Class Maths Solutions Chapter 12 Symmetry Unit Exercise 3

  1. Let AB be a line segment of length 7 cm.
  2. Let M be the mid point of AB.
  3. Now any line through M is a line of symmetry.
  4. So, the line segment \(\widehat{\mathrm{AB}}\) has infinite lines.