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

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2
Q

What’s the given?

A

Circle with centre at point A, where the points B,C and D are on the circumference.

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3
Q

To prove

A

|< BAC | = 2 | < BDC|

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4
Q

Construction

A

Join D to B and D to C. Join D to A and extend to point A. Label the angles

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