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Is a parallelogram inscribed in a circle always a rectangle?

Updated: 4/28/2022
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Skyleranderson

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7y ago

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Yes. The corners must be right angles for it to be inscribed on the circle.

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Q: Is a parallelogram inscribed in a circle always a rectangle?
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True or false if a parallelogram inscribed in a circle it must be a rectangle?

True.


What is the only parallelogram that can be inscribed in a circle?

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.


What doesn't fit rectangle circle square Parallelogram?

Circle


Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming?

Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming


If a circle is circumscribed about a parallelogram the parallelogram must be a rectangle. True or False?

true

Related questions

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.


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.


Can a rectangle always be inscribed in a circle?

Yes.


What is the only parallelogram that can be inscribed in a circle?

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.


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)


Can a circle be inscribed in a rectangle?

Yes! It can(: you draw the circle in the rectangle with its top and bottom touching the top and bottom sides of the rectangle


What doesn't fit Rectangle or square or Parallelogram or circle?

Circle Circle


What doesn't fit rectangle circle square Parallelogram?

Circle


A parallelogram in a circumscribed circle must be a?

rectangle


A parallelogram in a circumscribed circle must be a what?

rectangle