Maths-

General

Easy

Question

# Which of the following statements is NOT true?

- ABCDE. DEABC and CDABEC are all correct names for the given polygon
- No two sides with a common endpoint are collinear.
- Each side intersects exactly two sides
- A, B, C, D and are vertices.

## The correct answer is: ABCDE. DEABC and CDABEC are all correct names for the given polygon

### Solution:

Hint:

- In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

Explanation:

- We have been given the figure of a regular pentagon named ABCDE which has five sides AB, BC, CD, DE
- We have been given four options to which we have to find out which one is not correct.

Step 1 of 1:

We have given polygon

And we have to find which option is correct.

Option(A):

ABCDE, DEABC and CDABEC are all correct names for the polygon.

Here, CDABEC is not a correct name, because it is not in continuity.

Option(B)

No two sides with common endpoint are collinear.

This is correct.

From the figure we can conclude that no side with common endpoint are collinear.

Step 2 of 2:

Option(C)

Each side intersect exactly two sides.

This is correct, from figure we can conclude that each side intersect exactly two sides

Option (D)

A, B, C, D and E are vertices.

This Option is also true

Hence, Option A Is not true

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