Well-designed AP 6th Class Maths Textbook Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.8 offers step-by-step explanations to help students understand problem-solving strategies.
Understanding Elementary Shapes Class 6 Exercise 5.8 Solutions – 6th Class Maths 5.8 Exercise Solutions
Question 1.
Examine whether the following are polygons. If any one among them is not, say why?
Solution:
a) Not a polygon. Because the given figure is not close.
Therefore it is not a polygon.
b) The given figure is a polygon.
c) Not a polygon. Because every polygon is enclosed by line segments.
d) Not a polygon. Because it is enclosed by a curve and two line segments.
Question 2.
Name each polygon.
Make two more examples of each of these.
Solution:
Question 3.
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
Solution:
ABCDEF is a rough sketch of a regular hexagon.
i) If we join any three consecutive vertices like A, B and C, we get isosceles triangle ABC.
ii) If we join any three vertices like A, B and D we get a scalene triangle ABD.
iii) If we join the alternate vertices like A, C and E we get an equilateral triangle ACE.
Question 4.
Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
Solution:
ABCDEFGH is a rough sketch of regular octagon.
CDGH is the one of the rectangle formed by joining the four vertices of the given octagon.
Question 5.
A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
Solution:
ABCDE is the rough sketch of a pentagon.
By joining any two non-adjacent vertices, we get the 5 diagonals.
They are \(\overline{\mathrm{AD}})\), \(\overline{\mathrm{AC}})\), \(\overline{\mathrm{BE}})\), \(\overline{\mathrm{BD}})\) and \(\overline{\mathrm{CE}})\).