Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8

Question 1.

Examine whether the following are polygons. If any one among them is not, say why?

Solution:

(a) It is an open curve therefore it is not a polygon.

(b) Yes, it is a polygon of six sides.

(c) Circle is not made up of line segments. So it is not a polygon.

(d) The curve is not made up of line segments only. So it is not a polygon.

Question 2.

Name each polygon.

Make two more examples of each of these.

Solution:

(a) A quadrilateral

(b) A triangle

(c) A pentagon

(d) An octagon

Other examples:

Two quadrilaterals:

Two triangles:

Two pentagons:

Two octagons:

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 regular hexagon.

Joining its alternate vertices A, C and E we get ∆ACE,

which is a regular triangle.

Thus, the triangle so formed is an equilateral triangle.

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 regular octagon.

Joining vertices G and D, we get \(\overline{\mathrm{GD}}\).

Again joining H and C, we get \(\overline{\mathrm{HC}}\).

Thus we get rectangle CDGH.

By joining its any two vertices, we get following diagonals:

Again by joining A, F and B, E, we can get another rectangle ABEF.

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 D sketch of a pentagon and draw its diagonals.

Solution:

ABCDE is a pentagon. By joining its any two vertices, we get following diagonals:

\(\overline{\mathrm{AC}}\), \(\overline{\mathrm{AD}}\), \(\overline{\mathrm{BD}}\), \(\overline{\mathrm{BE}}\) and \(\overline{\mathrm{CE}}\)