false
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.
Sometimes but not always depending on what type the 4 sided quadrilateral is.
Yes, a parallelogram is always a quadrilateral. By definition, a parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length. Therefore, every parallelogram meets the criteria of being a quadrilateral.
square
No, they are supplementary.
False :]
false
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.
opposite angles are supplementary
false
Sometimes but not always depending on what type the 4 sided quadrilateral is.
False because it will have 2 equal opposite obtuse angles and 2 equal opposite acute angles with the 4 angles adding up to 360 degrees.
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.
always
a circumscribed triangle is a circumscribed triangle and will always be
A square, always, a rhombus, always, a parallelogram, always, and rectangles, always.