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State which of the following statements ...

State which of the following statements are true and which are false :
The end-points of a diameter of a circle divide the circle into two parts, each part is called a semicircle.

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The correct Answer is:
To determine whether the statement "The end-points of a diameter of a circle divide the circle into two parts, each part is called a semicircle" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definition of a Circle**: A circle is a round shape where all points on the boundary (circumference) are equidistant from a central point called the center. **Hint**: Remember that a circle is defined by its center and the distance from the center to any point on the circumference. 2. **Identify the Diameter**: The diameter of a circle is a straight line that passes through the center and connects two points on the circumference. It is the longest chord of the circle. **Hint**: Visualize the circle and identify the longest line that can be drawn through the center to the edge. 3. **Draw the Circle and the Diameter**: Draw a circle and then draw a line through the center of the circle to create the diameter. Mark the endpoints of the diameter on the circumference. **Hint**: Use a compass to draw a perfect circle and a ruler to draw the diameter accurately. 4. **Observe the Division**: When you draw the diameter, it divides the circle into two equal parts. Each part is a half of the circle. **Hint**: Think of cutting a pizza in half; each half is equal and represents a part of the whole. 5. **Define a Semicircle**: Each of the two equal parts created by the diameter is called a semicircle. A semicircle is defined as half of a circle. **Hint**: Remember that "semi" means half, so semicircle literally means half of a circle. 6. **Conclusion**: Since the diameter divides the circle into two equal parts, and each part is indeed called a semicircle, we can conclude that the statement is true. ### Final Answer: The statement "The end-points of a diameter of a circle divide the circle into two parts, each part is called a semicircle" is **True**.
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