If a circle is inscribed in a square, which of the following must be true?

A. The square is circumscribed about the circle.
B. Each vertex of the square lies inside the circle.
C. The circle is congruent to the square.
D. Each vertex of the square lies outside the circle.
E. The circle is tangent to each side of the square.

Respuesta :

Answer: E, A, D

Step-by-step explanation:

The true statements are

  • A. The square is circumscribed about the circle.
  • D. Each vertex of the square lies outside the circle.
  • E. The circle is tangent to each side of the square.

How to determine the true statements?

If a circle is inscribed in a square, then the circle is inside the square

This in other words means that, the square is circumscribed about the circle.

Also, it means that the circumference of the circle is tangent to the sides of the circle, because the vertices of the squares are outside the circle and the circle touches the square

Hence, the true statements are (a), (d) and (e)

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