AP State Syllabus AP Board 6th Class Maths Solutions Chapter 9 2D-3D Shapes Ex 9.3 Textbook Questions and Answers.
AP State Syllabus 6th Class Maths Solutions 9th Lesson 2D-3D Shapes Ex 9.3
Question 1.
Look at the given quadrilateral and answer the following questions.
i) What are the sides of the given quadrilateral?
ii) What is the opposite side of \(\overline{\mathrm{AB}}\) ?
iii) What is the opposite vertex of B?
iv) What is the opposite angle of ∠C ?
v) How many pairs of adjacent angles are there? What are they?
vi) How many pairs of opposite angles are there? What are they?
Solution:
In the given quadrilateral ABCD,
i) It has four sides. They are \(\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{CD}} \text { and } \overline{\mathrm{AD}}\)
ii) Opposite side of \(\overline{\mathrm{AB}}\) is \(\overline{\mathrm{DC}}\)
iii) Opposite vertex to B is D.
iv) Opposite angle of ∠C is ∠BAD (or) ∠A.
v) It has four pair of adjacent angles are there. They are :
Adjacent angles of ∠A are ∠B and ∠D.
Adjacent angles of ∠B are ∠A and ∠C.
Adjacent angles of ∠C are ∠B and ∠D.
Adjacent angles of ∠D are ∠A and ∠C.
vi) It has two pairs of opposite angles are there. They are ∠A and ∠C; ∠B and ∠D.
Question 2.
Find the number of lines of symmetry in the following.
Solution:
i) Given adjacent figure is a square.
Number of lines of symmetry to a square are 4
ii) Given adjacent figure is a circle.
Number of lines of symmetry to a circle are infinite (many).
iii) Given adjacent figure is a triangle.
Number of lines of symmetry to the triangle are three.
(If it is an equilateral triangle).
