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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...............
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.
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.
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.
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.
