Circle theorems (AQA GCSE Further Maths): Quizzes
📚Quizzes
Practise the questions
11 questions from this quiz
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Practise the questions
11 questions from this quiz
What is the relationship between the central angle and circumference angle subtending the same arc?
What is the relationship between the central angle and circumference angle subtending the same arc?
Central = Circumference
If the angle at the centre is , what is the angle at the circumference subtending the same arc?
If the angle at the centre is , what is the angle at the circumference subtending the same arc?
What is the measure of any angle inscribed in a semicircle?
What is the measure of any angle inscribed in a semicircle?
What is the alternative name for the theorem stating angles in a semicircle equal ?
What is the alternative name for the theorem stating angles in a semicircle equal ?
Thales' theorem
What can be said about angles subtended by the same arc from the same side of the chord?
What can be said about angles subtended by the same arc from the same side of the chord?
They are equal
What defines a cyclic quadrilateral?
What defines a cyclic quadrilateral?
All vertices lie on the circle circumference
In a cyclic quadrilateral, what is the sum of opposite angles?
In a cyclic quadrilateral, what is the sum of opposite angles?
In a cyclic quadrilateral, if one angle is , what is its opposite angle?
In a cyclic quadrilateral, if one angle is , what is its opposite angle?
What does the alternate segment theorem state about tangent-chord angles?
What does the alternate segment theorem state about tangent-chord angles?
Equals angle in alternate segment
If central reflex angle is , what is the inscribed angle on the minor arc?
If central reflex angle is , what is the inscribed angle on the minor arc?
For central angle = circumference angle to work, what must be true?
For central angle = circumference angle to work, what must be true?
Both subtended from same arc