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19 terms

Circles 10.5-10.8

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Inscribed polygon
A polygon each of whose vertices lie on a circle.
Circumscribed polygon
A polygon each of whose sides is tangent to a circle.
Circumcenter
A point associated with a polygon, corresponding to the center of the polygon's circumscribed circle.
Cyclic quadrilateral
A quadrilateral that can be inscribed in a circle.
Concyclic
A set of points that all lie on the same circle.
x = y
Write a formula associated with the diagram.
x = ½(m + z)
Write a formula associated with the diagram.
x = ½y
Write a formula associated with the diagram.
x = ½z
Write a formula associated with the diagram.
x = ½(w - m)
Write a formula associated with the diagram.
x = ½(y - m)
Write a formula associated with the diagram.
x = ½(y - z)
Write a formula associated with the diagram.
x = 90°
Write a formula associated with the diagram.
x + z = 180°
Write a formula associated with the diagram.
Rectangle
What is the most specific name for the quadrilateral inscribed in this circle?
x + y = 180°
Write a formula associated with the diagram.
xy = wz
Write a formula associated with the diagram.
x² = m(m + w)
Write a formula associated with the diagram.
w(w + x) = z(z + m)
Write a formula associated with the diagram.