Question

question 14 of 25 if a circle is inscribed in a square, which of the following must be true? check all that apply. a. the circle is congruent to the square. b. each vertex of the square lies outside the circle. c. the circle is tangent to each side of the square. d. the square is circumscribed about the circle. e. each vertex of the square lies inside the circle.

Explanation:

• Congruent figures have equal shape and size. A circle and a square have different shapes, so A is false.
• When a circle is inscribed in a square, the circle touches each side of the square at exactly one - point (tangency). So the vertices of the square are outside the circle, making B and C true.
• When a circle is inscribed in a square, the square surrounds the circle and is circumscribed about it, so D is true.
• Since the circle is inscribed in the square, the vertices of the square are outside the circle, so E is false.

Answer:

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