Circle Geometry Flashcards
The angle at the centre…
…is twice the angle at the circumference of the same arc.
Equal arcs or cords subtend equal angles…
…on the circumference or at the centre.
The angle in a semicircle…
…is a right angle.
A line from the centre that bisects a cord…
…is perpendicular to it.
Opposite angles in a cyclic quadrilateral…
…are supplementary.
The midpoint of two equal cords are…
…equidistant from the centre.
The product of both halves of two intersecting cords…
…are equal.
The tangent to a circle…
…is perpendicular from the point of contact.
Tangents of a circle that originate from the same point…
…are equal.
When two circles touch…
…the line that passes through their centres passes through the point of contact.
The angle between a tangent and a cord…
…is equal to the angle in the opposite segment.
The relationship between a tangent and a line that passes through a circle is…
…the square of the tangent equals the whole line times the external half of the line.
