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Sagot :
A circle is a shape with a circumference that is equidistant from its center. The following answers are the correct statements to the question:
- If Ali begins by making two cuts from edge to edge through the center of the pizza, and the cuts divide the pizza exactly into fourths, the cuts are perpendicular.
- Any two different cuts that Ali makes that intersect will form an angle.
- Any cut from the center of the pizza to its outer edge will have the same length.
The pizza in the question resembles a circle, thus the knowledge of parts of a circle can be used to explain and answer the given question. A circle has various parts, of which some are: diameter, radius, chord, segment, quadrant etc.
This ensures that the circular pizza can be compared with a circle. So that the statements that are correct from the given options are:
- If Ali begins by making two cuts from edge to edge through the center of the pizza, and the cuts divide the pizza exactly into fourths, the cuts are perpendicular. The pizza would be divided into equal quadrants.
- Any two different cuts that Ali makes that intersect will form an angle. This is true because an angle is formed which two lines meet.
- Any cut from the center of the pizza to its outer edge will have the same length. This implies the radius of the circular pizza.
Thus the above statements are applicable to Ali cutting the circular pizza.
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