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ex 17d class 6 icse

 

 

1. Which of the following closed plane figures are not polygons?

Answer:

  • (iv) Circle
  • (v) Flower shape (curved edges)
  • (vii) Shape with a curved side

Reason: A polygon is a closed plane figure with straight sides. Circles and shapes with curved edges are not polygons.

2. Which of the following figures are not polygons, and why?

Answer:

  • (i) Not a polygon (has a curved side)
  • (iv) Not a polygon (has curved sides)

Reason: Polygons must have straight sides. Any figure with curved edges is not a polygon.

3. For each polygon:

Write down the number of sides and name the polygon.

Figure

Number of Sides

Name of Polygon

(i)

3

Triangle

(ii)

5

Pentagon

(iii)

6

Hexagon

(iv)

5

Pentagon

(v)

4

Quadrilateral

(vi)

7

Heptagon

(vii)

6

Hexagon

(viii)

8

Octagon

(ix)

5

Pentagon

(x)

6

Hexagon (irregular)

4. Which of the following is a regular polygon?

Answer:

  • (a) Isosceles triangle → Not regular (only two sides equal)
  • (b) Rectangle → Not regular (sides are not all equal)
  • (c) Rhombus → Regular (all sides equal, all angles equal)
  • (d) Equilateral triangle → Regular (all sides and angles equal)

Correct Option: (c) Rhombus and (d) Equilateral triangle Note: A rhombus is only regular if all angles are equal (i.e., it is a square). So, strictly, the correct answer is (d) Equilateral triangle.

5. Name the polygon that best describes the given traffic sign 'STOP'.

Answer:

  • (c) Octagon

6. Which of the following statements is sometimes false for a polygon?

Answer:

  • (b) A polygon is made up of straight lines. → Sometimes false (if the figure has curved sides, it is not a polygon)
  • (d) A plane figure is a polygon. → Sometimes false (not all plane figures are polygons, e.g., circles)

Correct Option: (b) and (d)

 

 

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