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The alternate segment theorem
I can derive and use the theorem: the alternate segment theorem.
Lesson 7 of 11
New
New
- Year 10
The alternate segment theorem
I can derive and use the theorem: the alternate segment theorem.
I can derive and use the theorem: the alternate segment theorem.
I can derive and use the theorem: the alternate segment theorem.
Theorem - A theorem is a statement that can be proved using known mathematical facts and reasoning.
Subtended - An angle can be subtended by a line segment or curve. The legs of the subtended angle meet the endpoints of the line segment or curve.
Segment - Two segments are created when dividing a circle into two parts using a chord.
Tangent - A tangent of a circle is a line that intersects the circle exactly once.
Pupils may conflate the alternate segment theorem with alternate angles on parallel lines, thinking that the chord that meets the tangent is a transversal between two equal angles.
Alternate angles are only equal when the transversal is between parallel lines. In many of the examples for the alternate segment theorem, the tangent is not parallel to a chord.











