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Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
Is a parallelogram inscribed in a circle always a rectangle?
Yes. The corners must be right angles for it to be inscribed on the circle.
Can a kite always be inscribed in a circle?
not always, since sometimes kites may have a pair of opposite angles that are not supplementary. Special types of kites can be inscribed.
The opposite angles of a quadrilateral in a circumscribed circle are always complimentary?
No, they are supplementary.
What is a inscribed angle?
An inscribed angle is an angle with its vertex on a circle and with sides that contain chords of the circle.
The opposite angles of a quadrilateral inscribed in a circle are?
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
When each side of a quadrilateral is tangent to a circle The quadrilateral is inscribed in the circle?
No, the circle is inscribed in the quadrilateral.
What is a quadrilateral inscribed in a circle called?
It is an inscribed quadrilateral or cyclic quadrilateral.
What is a quadrilateral inscribed in a circle?
cyclic
Can any quadrilateral be inscribed in a circle?
yes
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.
What are the opposite angles of a quadrilateral inscribed in a circle?
A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.
What parallelogram can be inscribed in a circle?
if a parallelogram is inscribed in a circle it is always a rectangle...............
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.
Can a parallelogram always be inscribed in a circle?
No. For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees. A parallelogram can be inscribed in a circle if it is a rectangle.
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.
How do you find the measure of an interior angle in a quadrilateral inscibed in a circle?
There is no specific limitation on any one angle of an inscribed quadrilateral.
