Identify these statements as "Always, Sometimes, or Never"A circle can be inscribed in any regular polygon.A circle can be inscribed in an isosceles trapezoid.If a line segment is drawn from the center of any regular polygon to any of its vertices, the segment is a radius of the inscribed circle.A circle can be circumscribed about an equilateral triangle.Any triangle, regular or not, can be inscribed in a circle.If two circles are concentric, then their radii are congruent.If a circle is inscribed in a square, then the diagonal of the square contains a diameter of the circle.If a regular polygon is inscribed in a circle, then all diagonals of the polygon pass through the center of the circle.Circles can be inscribed inside of quadrilaterals.A parallelogram can be inscribed inside of a circle.
Question
Identify these statements as "Always, Sometimes, or Never"A circle can be inscribed in any regular polygon.A circle can be inscribed in an isosceles trapezoid.If a line segment is drawn from the center of any regular polygon to any of its vertices, the segment is a radius of the inscribed circle.A circle can be circumscribed about an equilateral triangle.Any triangle, regular or not, can be inscribed in a circle.If two circles are concentric, then their radii are congruent.If a circle is inscribed in a square, then the diagonal of the square contains a diameter of the circle.If a regular polygon is inscribed in a circle, then all diagonals of the polygon pass through the center of the circle.Circles can be inscribed inside of quadrilaterals.A parallelogram can be inscribed inside of a circle.
Solution
- Always: A circle can be inscribed in any regular polygon.
- Sometimes: A circle can be inscribed in an isosceles trapezoid.
- Always: If a line segment is drawn from the center of any regular polygon to any of its vertices, the segment is a radius of the inscribed circle.
- Always: A circle can be circumscribed about an equilateral triangle.
- Always: Any triangle, regular or not, can be inscribed in a circle.
- Never: If two circles are concentric, then their radii are congruent.
- Always: If a circle is inscribed in a square, then the diagonal of the square contains a diameter of the circle.
- Never: If a regular polygon is inscribed in a circle, then all diagonals of the polygon pass through the center of the circle.
- Always: Circles can be inscribed inside of quadrilaterals.
- Sometimes: A parallelogram can be inscribed inside of a circle.
Similar Questions
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
A quadrilateral can be inscribed in a circle if and only if the opposite angles are
Which is a true statement about any two congruent chords in a circle?A.They are equidistant from the center of the circle.B.They are perpendicular.C.They form an angle.D.They are parallel.SUBMITarrow_backPREVIOUS
Question 6 of 25If a circle is inscribed in a square, which of the following must be true? Check all that apply.A.Each vertex of the square lies outside the circle.B.Each vertex of the square lies inside the circle.C.The circle is tangent to each side of the square.D.The square is circumscribed about the circle.E.The circle is congruent to the square.
True or False? A circle could be circumscribed about the quadrilateral below.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.