It is an inscribed quadrilateral or cyclic quadrilateral.
No, the circle is inscribed in the quadrilateral.
cyclic
yes
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.
There is no specific limitation on any one angle of an inscribed quadrilateral.
No, the circle is inscribed in the quadrilateral.
cyclic
yes
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.
If a parallelogram is inscribed in a circle then it must be a cyclic quadrilateral.
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.
opposite angles are supplementary
There is no specific limitation on any one angle of an inscribed quadrilateral.
(99,90) (105,75)
An inscribed circle.
It is called incenter
If a circle is inscribed in a triangle, the center of the circle is called the incenter. The incenter is the point where the angle bisectors of the triangle intersect, and it is equidistant from all three sides of the triangle. This point serves as the center of the inscribed circle, known as the incircle.