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True or False Adjacent (or side-by-side) angles of a quadrilateral in a circumscribed circle are always supplementary.?
True. In a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral), the adjacent angles are always supplementary, meaning their measures add up to 180 degrees. This property arises from the fact that opposite angles subtend arcs that sum to a semicircle. Thus, if one angle is known, its adjacent angle can be determined as 180 degrees minus the known angle.
Can all polygons be circumscribed?
No. Only triangles and cyclic polygons can be circumscribed.
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
What are the properties of a straight angle?
The angle should be of measure 180 degrees
What is the difference between an inscribed and a circumscribed shape?
What is the difference between an inscribed and a circumscribed shape?
To circumscribed a circle about a triangle you use the?
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
Define a circumscribed triangle?
a circumscribed triangle is a circumscribed triangle and will always be
A circle could be circumscribed about the quadrilateral with angle measures 120 90 90 and 60?
U would add them the answer is 360
True or False Adjacent (or side-by-side) angles of a quadrilateral in a circumscribed circle are always supplementary.?
True. In a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral), the adjacent angles are always supplementary, meaning their measures add up to 180 degrees. This property arises from the fact that opposite angles subtend arcs that sum to a semicircle. Thus, if one angle is known, its adjacent angle can be determined as 180 degrees minus the known angle.
Can all polygons be circumscribed?
No. Only triangles and cyclic polygons can be circumscribed.
The center of a circumscribed circle is called what?
the center of a circumscribed circle is called the focus.
How many circumscribed circles can a triangle have?
A triangle has exactly one circumscribed circle.
What are the properties of a straight angle?
The angle should be of measure 180 degrees
What is the properties of an right angle triangle?
right-angle triangle has at least one right angle .
Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.
What is the difference between an inscribed and a circumscribed shape?
What is the difference between an inscribed and a circumscribed shape?
What are the properties of a acute angled triangle?
acute angle is an angle less that 90%
