Circle Theorems Flashcards
Complete this circle theorem:
The angle in a semicircle is ____.
90°
Complete this circle theorem:
Tangents from an ___ point are ___ __ ___.
external
equal in length.
Complete this circle theorem:
The perpendicular ___ of a chord passes through the ___.
bisector
centre
Complete this circle theorem:
A radius and a ___ meet at ___ ___.
tangent
right angles
Complete this circle theorem:
The angle at the ___ is ___ the angle at the ___.
centre
twice circumference
Complete this circle theorem:
___ angles in a ___ quadrilateral sum to ___°.
Opposite
cyclic
180°
Complete this circle theorem:
___ angles in a ___ quadrilateral sum to ___°
Opposite
cyclic
180°
Complete this circle theorem:
Angles in the same ___ are ___
segment
equal
Complete this circle theorem:
The angle at the ___ is ___ the angle at the ___
centre
twice
circumference
Complete this circle theorem:
The ___ ___ theorem.
alternate
segment
What is the alternate segment theorem?
The angle between a ___ and a ___ is ___ to the angle in the alternate segment
chord
tangent
equal
What two things do you look for to find the alternate segment theorem?
- Cyclic triangle
- one vertex of the triangle meets a tangent
How can you find the equation of a tangent from the gradient of a line?
The equation of a tangent is the negative reciprocal of the gradient of a line.
