Circle theorems Flashcards
1
Q
What is the circle theorem about diameter and hypotenuse?
A
A right angle triangle is inscribed within a circle will have a diameter as its hypotenuse
2
Q
Show pts P(1,1), Q(0,-2) and R(-5,3) form a right angle triangle
A
Work out the gradient of each point Mpq =3 Mpr=-1/3 Mqr=-1 Mpq x Mpr=3 x -1/3 = -1 PQ is perpendicular to PR QPR is a right angle triangle
3
Q
What is the circle theorem to do with tangents?
A
Two tangents from a circle which pass through the same point are of equal length
4
Q
What is the circle theorem to do with centre and chord?
A
The perpendicular from the centre to a chord bisects the chord
