Theorums Flashcards
1
Q
Give the name of a theorem and what it needs to prove
A
Theorem 19:
To prove that the angle at the centre of a circle standing on a given arc is twice the angle at any point of the circle standing in the same arc
2
Q
What’s the given?
A
Circle with centre at point A, where the points B,C and D are on the circumference.
3
Q
To prove
A
|< BAC | = 2 | < BDC|
4
Q
Construction
A
Join D to B and D to C. Join D to A and extend to point A. Label the angles