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Ali is cutting a circular pizza into serving-sized sections. He uses a long knife to be sure that the cuts he makes in the pizza are straight.

Which statements are correct? Select all that apply.


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.

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 two different cuts that Ali makes that intersect will form an angle.

The perimeter of the pizza represents the maximum length cut that Ali will need to make.

The perimeter of the pizza represents the maximum length cut that Ali will need to make.

Any cut from the center of the pizza to its outer edge will have the same length.

Any cut from the center of the pizza to its outer edge will have the same length.

If all of Ali's cuts go through the center of the pizza, some of them may be parallel to each other.

If all of Ali's cuts go through the center of the pizza, some of them may be parallel to each other.

Sagot :

Olayemiolakunle65idn

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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