POLYGONS WORKSHEET

Question 1 :

State whether the figure given below is a polygon or not. Explain why.

Question 2 :

State whether the figure given below is a polygon or not. Explain why.

Question 3 :

State whether the figure given below is a polygon or not. Explain why.

Question 4 :

State whether the figure given below is a polygon or not. Explain why.

Question 5 :

State whether the figure given below is a polygon or not. Explain why.

Question 6 :

Identify the polygon and state whether it is convex or concave.

Question 7 :

Identify the polygon and state whether it is convex or concave.

Question 8 :

Decide whether the polygon is regular.

Question 9 :

Decide whether the polygon is regular.

Question 10 :

Decide whether the polygon is regular.

1. Answer :

Yes, it is a polygon

Because, it is a closed a figure and all the sides of the polygon are straight lines.

2. Answer :

Yes, it is a polygon

Because, it is a closed a figure and all the sides of the polygon are straight lines.

3. Answer :

No, it is not a polygon

Because, one of the sides is not a straight line.

4. Answer :

No, it is not a polygon

Because, it is not a closed figure.

5. Answer :

No, it is not a polygon

Because, some of its sides intersect more than two sides.

6. Answer :

The polygon has 8 sides, so it is an octagon.

When extended, some of the sides intersect the interior, so the polygon is concave.

It has been illustrated in the diagram shown below.

7. Answer :

The polygon has 5 sides, so it is an pentagon.

When extended, none of the sides intersect the interior, so the polygon is convex.

It has been illustrated in the diagram shown below.

8. Answer :

All the sides of the polygon above are equal in length.

But, all the angles do not have equal measure.

So, it is not a regular polygon.

9. Answer :

All the sides of the polygon above are equal in length.

And also, all the angles have equal measure.

So, it is a regular polygon.

10. Answer :

All the sides of the polygon above are equal in length.

But, all the angles do not have equal measure.

So, it is not a regular polygon.

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