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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.
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The opposite angles of a quadrilateral in a circumscribed circle are always complementary?
false
Is it true opposite angles are supplementary?
No, only in certain, limited circumstances. Eg where a quadrilateral is (can be) circumscribed within a circle.
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
Why does a circle belong in the quadrilateral family?
A circle does not belong to the quadrilateral family, as quadrilaterals are defined as polygons with four straight sides, while a circle is a curved shape with no sides or angles. However, if considering a circle's properties in relation to quadrilaterals, one might mention that a circle can be inscribed in or circumscribed around certain quadrilaterals, such as squares or rectangles. This geometric relationship showcases the connection but does not classify a circle as a quadrilateral.
True or False Adjacent (or side-by-side) angles of a quadrilateral in a circumscribed circle are always supplementary.?
True. In a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral), the adjacent angles are always supplementary, meaning their measures add up to 180 degrees. This property arises from the fact that opposite angles subtend arcs that sum to a semicircle. Thus, if one angle is known, its adjacent angle can be determined as 180 degrees minus the known angle.
A circle could be circumscribed about the quadrilateral?
false
The opposite angles of a quadrilateral in a circumscribed circle must be?
supplementary
Are Adjacent angles of a quadrilateral in a circumscribed circle are always supplementary?
False :]
The opposite angles of a quadrilateral in a circumscribed circle are always complimentary?
No, they are supplementary.
The opposite angles of a quadrilateral in a circumscribed circle are always complementary?
false
Is it true opposite angles are supplementary?
No, only in certain, limited circumstances. Eg where a quadrilateral is (can be) circumscribed within a circle.
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.
A circle could be circumscribed about the quadrilateral with angle measures 120 90 90 and 60?
U would add them the answer is 360
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
Why does a circle belong in the quadrilateral family?
A circle does not belong to the quadrilateral family, as quadrilaterals are defined as polygons with four straight sides, while a circle is a curved shape with no sides or angles. However, if considering a circle's properties in relation to quadrilaterals, one might mention that a circle can be inscribed in or circumscribed around certain quadrilaterals, such as squares or rectangles. This geometric relationship showcases the connection but does not classify a circle as a quadrilateral.
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.
True or False Adjacent (or side-by-side) angles of a quadrilateral in a circumscribed circle are always supplementary.?
True. In a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral), the adjacent angles are always supplementary, meaning their measures add up to 180 degrees. This property arises from the fact that opposite angles subtend arcs that sum to a semicircle. Thus, if one angle is known, its adjacent angle can be determined as 180 degrees minus the known angle.
