That is the definition of the incenter; it is the center of the inscribed circle.
Yes. The corners must be right angles for it to be inscribed on the circle.
opposite angles are supplementary
An inscribed angle is an angle with its vertex on a circle and with sides that contain chords of the circle.
A circle with a polygon in it An inscribed polygon is any polygon that can fit within a specific curve or circle.
Yes
if a parallelogram is inscribed in a circle it is always a rectangle...............
That is the definition of the incenter; it is the center of the inscribed circle.
Yes. The corners must be right angles for it to be inscribed on the circle.
yes
yes.
Yes.
Yes all inscribed angles in a circle have their vertex on the circumference of the circle. Central angles have their vertex at the center of the circle.
Yes, always.
opposite angles are supplementary
If you want to, you can always draw a circle around an isosceles trapezoid and the radius can be half the base of the trapezoid.
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.