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Any parallelogram can be inscribed in a circle if the parallelogram is sufficiently small, but only two of the "corners" (a corner is a vertex) of the parallelogram will lie on the circle. But any parallelogram with four right angles (a rectangle or a square) can be inscribed in a circle, and all four of the vertexes will lie on the circumference. So the only parallelogram that can be inscribed in a circle is a rectangle.
You'll recall that a parallelogram is a quadrilateral with two pairs of parallel sides. If the interior angles of a parallelogram are right angles, that sets conditions for a special case of a parallelogram called a rectangle. If the sides of a given rectangle are the same length, that rectangle is now a special case of rectangle called a square. Any rectangle (including the special case of the square) can be inscribed inside a circle so all vertexes lie on the circle.
If we're interested in a construction project, start by drawing a circle. Then pick any two points on the circle and connect them with a line segment. Next, draw a line segment from each of the original points across the circle, insuring that each line segment is at a right angle to that first line segment. Lastly, connect the two points on the circle where those last two line segments have interesected the circle. You'll find that in every case you try, you'll have constructed a rectangle. And if the line segments all end up the same length, your rectangle will be a square.
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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.
True or false if a parallelogram inscribed in a circle it must be a rectangle?
True.
The circumcenter of a triangle is the center of the only circle that can be inscribed about it?
False
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.
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.
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 then it must be a?
If a parallelogram is inscribed in a circle then it must be a cyclic 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.
Is it possible that a parallelogram be inscribed in a circle?
All geometric shapes can be inscribed in a circle, since the circle is bigger than the other geometric shape inscribed in it. (Obviously)
True or false if a parallelogram inscribed in a circle it must be a rectangle?
True.
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.
How many different inscribed circles can be inscribed in a given triangle?
There is only one possible circle that can be inscribed in any triangle because all of the sides of the triangle must touch the circle at some point. Also, there is only one "incenter" of each circle. The incenter is the center of an inscribed circle.
The only way to circumscribe a circle around a parallelogram is to make the parallelogram a?
rectangle
The incenter of a triangle is the center of the only circle that can be inscribed in it?
true
The circumcenter of a triangle is the center of the only circle that can be inscribed about it?
False
The of a triangle is the center of the only circle that can be inscribed inside it?
incenter
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.
