Which one of the following statements about the polygon is not true?

Options

A. The end point of a side is an adjoining vertex
B. All sides are parallel to each other
C. The intersection of two sides is a vertex
D. None of the above

Answer

To determine which statement about polygons is not true, we will analyze each of the provided options step by step.

### Step 1: Analyze the first statement
**Statement 1:** The endpoint of a side is an adjoining vertex.

- **Explanation:** In a polygon, each side connects to two vertices. The endpoints of each side are indeed the vertices of the polygon. Therefore, this statement is true.

### Step 2: Analyze the second statement
**Statement 2:** All sides are parallel to each other.

- **Explanation:** This statement is not necessarily true for all polygons. For example, in a triangle (which is a polygon), none of the sides are parallel to each other. Thus, this statement is false.

### Step 3: Analyze the third statement
**Statement 3:** The intersection of two sides is a vertex.

- **Explanation:** In a polygon, the point where two sides meet is defined as a vertex. This is a fundamental property of polygons. Therefore, this statement is true.

### Conclusion
After analyzing all the statements, we find that the second statement, "All sides are parallel to each other," is not true for polygons in general.

Thus, the answer is that **option number 2** is the statement that is not true.

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