If a circle is inscribed in a triangle, which of the following must be true? Check all that apply.A.Each vertex of the triangle lies inside the circle.B.The triangle is circumscribed about the circle.C.The circle is tangent to each side of the triangle.D.The circle is congruent to the triangle.E.Each vertex of the triangle lies outside the circle.SUBMITarrow_backPREVIOUS
Question
If a circle is inscribed in a triangle, which of the following must be true? Check all that apply.A.Each vertex of the triangle lies inside the circle.B.The triangle is circumscribed about the circle.C.The circle is tangent to each side of the triangle.D.The circle is congruent to the triangle.E.Each vertex of the triangle lies outside the circle.SUBMITarrow_backPREVIOUS
Solution
B. The triangle is circumscribed about the circle. This means that the triangle is drawn around the circle such that the sides of the triangle are tangent to the circle.
C. The circle is tangent to each side of the triangle. This is another way of saying that the circle touches each side of the triangle at exactly one point.
E. Each vertex of the triangle lies outside the circle. Since the circle is inscribed in the triangle, the corners (vertices) of the triangle must be outside the circle.
So, the correct answers are B, C, and E.
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