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Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

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To answer your question, let's go step by step: Draw a Circle and Two Diameters: Start by drawing a circle with its center marked. Draw any two diameters of the circle. Remember, a diameter is a chord passing through the center of the circle. Join the Ends of the Diameters: After drawing the...
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To answer your question, let's go step by step:

  1. Draw a Circle and Two Diameters:

    • Start by drawing a circle with its center marked.
    • Draw any two diameters of the circle. Remember, a diameter is a chord passing through the center of the circle.
  2. Join the Ends of the Diameters:

    • After drawing the two diameters, join the ends of these diameters to form a quadrilateral.
  3. Figure Obtained:

    • The figure obtained by joining the ends of two diameters of a circle is a rectangle. This is because the opposite sides of a rectangle are equal and parallel, and the opposite angles are equal.
  4. If the Diameters are Perpendicular:

    • If the two diameters are perpendicular to each other, the quadrilateral formed by joining their ends will be a square. A square is a special case of a rectangle where all the sides are equal, and all the angles are right angles.
  5. How to Check:

    • To check your answer, measure the lengths of the sides of the quadrilateral formed by joining the ends of the diameters. If all the sides are equal, then it's a square. If the opposite sides are equal and parallel, but not all the sides are equal, then it's a rectangle.

Remember to ensure that your diameters are drawn accurately and that the quadrilateral is formed by joining the correct ends of the diameters.

 
 
 
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