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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.
Which property is always true for a quadrilateral inscribed in a circle?
opposite angles 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.
What is an inscribed polygon?
A circle with a polygon in it An inscribed polygon is any polygon that can fit within a specific curve or circle.
Can a kite be inscribed in a circle?
Yes
What parallelogram can be inscribed in a circle?
if a parallelogram is inscribed in a circle it is always 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.
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 square always be inscribed in a circle?
yes
Can a rhombus always be inscribed in a circle?
yes.
Can a rectangle always be inscribed in a circle?
Yes.
Will an inscribed angle always have its vertex on the circle?
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.
Can an isosceles trapezoid be inscribed in a circle?
Yes, always.
Which property is always true for a quadrilateral inscribed in a circle?
opposite angles are supplementary
Is an isosceles trapezoid always inscribed in a circle?
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?
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.
