Circle Theorems Flashcards
arrowhead technical wording
The angle subtended at the centre is twice that subtended at the curcumference by the same arc/chord
Bowtie technical wording
Two angles subtended at the circumference by the same arc/chord are equal
Cyclic quadrilateral…
Opposite angles in a cyclic quadrilateral sum to 180 degrees
what is the relationship between the tangent and the radius?
The radius is perpendicular to the tangent
what if the radius is perpendicular to a chord?
when the radius is perpendicular to a chord, it bisects that chord
Alternate segment theorem
states that the angle between a chord and tangent is the same as the angle subtended by that chord at the curcumference in the alternate segment
What is the perpendicular bisector of a chord?
The perpendicular bisector of a chord is a diameter of the circle
Two tangents…
Two tangents drawn from the same point are equal in length
