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The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle?
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.
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.
How do you calculate area of a circle?
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.
When you make the circle smaller which number in the standard equation for a circle centered at the origin decreases?
The radius of the circle decreases when you make the circle smaller.
A quadrilateral with exactly 1 pair of parrell sides and exactly 1 pair of congruent sides?
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.
The opposite angles of a quadrilateral in a circumscribed circle must be?
supplementary
Are Adjacent angles of a quadrilateral in a circumscribed circle are always supplementary?
False :]
The opposite angles of a quadrilateral in a circumscribed circle are always complimentary?
No, they are supplementary.
The opposite angles of a quadrilateral in a circumscribed circle are always complementary?
false
A circle could be circumscribed about the quadrilateral with angle measures 120 90 90 and 60?
U would add them the answer is 360
How could you contrust a rhombus circumscribed in a circle?
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.
Is it true opposite angles are supplementary?
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 what?
the center of a circumscribed circle is called the focus.
Why does a circle belong in the quadrilateral family?
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?
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
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.
Are The Opposite Angles Of A Quadrilateral In A Circumscribed Circle Are Always Supplementary.?
Yes, the opposite angles of a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral) are always supplementary. This means that the sum of each pair of opposite angles equals 180 degrees. This property arises from the fact that the inscribed angles subtend the same arc, leading to their supplementary relationship. Thus, if one angle measures (x), the opposite angle will measure (180 - x).
