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The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
What is the only way to circumscribe a circle around a parallelogram?
The only way to circumscribe a circle around a parallelogram is when the parallelogram is a rectangle. This is because only rectangles have all four angles equal to 90 degrees, which allows a circle to be inscribed such that all vertices are equidistant from the center. In general, a circle can be circumscribed around a polygon only if the polygon is cyclic, and rectangles are the only type of parallelogram that meet this criterion.
Can a circle be circumscribed about the quadrilateral?
A circle can be circumscribed around a quadrilateral if and only if the quadrilateral is cyclic, meaning that its opposite angles are supplementary. This means that the sum of each pair of opposite angles must equal 180 degrees. If this condition is met, then a single circle can be drawn that passes through all four vertices of the quadrilateral. If not, no such circumscribed circle exists.
If a parallelogram is inscribed in a circle it must be a rectangle?
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
A parallelogram in a circumscribed circle must be a?
rectangle
If a circle is circumscribed about a parallelogram the parallelogram must be a rectangle. True or False?
true
Is a parallelogram a rhombus if a circle is circumscribed?
No.No.No.No.
The opposite angles of a quadrilateral in a circumscribed circle must be?
supplementary
If a parallelogram is inscribed in a circle then it must be a?
If a parallelogram is inscribed in a circle then it must be a cyclic quadrilateral.
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
What is the only way to circumscribe a circle around a parallelogram?
The only way to circumscribe a circle around a parallelogram is when the parallelogram is a rectangle. This is because only rectangles have all four angles equal to 90 degrees, which allows a circle to be inscribed such that all vertices are equidistant from the center. In general, a circle can be circumscribed around a polygon only if the polygon is cyclic, and rectangles are the only type of parallelogram that meet this criterion.
How could you contrust a rhombus circumscribed in a circle?
You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.
To circumscribed a circle about a triangle you use the?
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
Can a circle be circumscribed about the quadrilateral?
A circle can be circumscribed around a quadrilateral if and only if the quadrilateral is cyclic, meaning that its opposite angles are supplementary. This means that the sum of each pair of opposite angles must equal 180 degrees. If this condition is met, then a single circle can be drawn that passes through all four vertices of the quadrilateral. If not, no such circumscribed circle exists.
If a parallelogram is inscribed in a circle it must be a rectangle?
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
