false
Yes, that's correct. The point of concurrency for the perpendicular bisectors of a triangle is called the circumcenter, and it is the center of the circumscribed circle of the triangle.
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.
To calculate the area of a circle, you can use the formula A = πr^2, where A is the area and r is the radius of the circle. Simply square the radius, multiply it by π (approximately 3.14159), and you will have the area of the circle.
The radius of the circle decreases when you make the circle smaller.
This quadrilateral is a trapezoid. In a trapezoid, one pair of opposite sides is parallel, and one pair of opposite sides is congruent. The other two sides are not parallel or congruent.
supplementary
No, they are supplementary.
false
False :]
U would add them the answer is 360
You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.
No, only in certain, limited circumstances. Eg where a quadrilateral is (can be) circumscribed within a circle.
the center of a circumscribed circle is called the focus.
A circle does not belong to the quadrilateral family, as quadrilaterals are defined as polygons with four straight sides, while a circle is a curved shape with no sides or angles. However, if considering a circle's properties in relation to quadrilaterals, one might mention that a circle can be inscribed in or circumscribed around certain quadrilaterals, such as squares or rectangles. This geometric relationship showcases the connection but does not classify a circle as a quadrilateral.
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
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.
A circumscribed polygon is a polygon all of whose vertices are on the circumference of a circle. The circle is called the circumscribing circle and the radius of the circle is the circumradius of the polygon.