Lesson plan
Inscribed angle
In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle. The inscribed angle theorem, sometimes called the central angle theorem, relates the measure of an inscribed angle to that of the central angle intercepting the same arc. Its oldest appearance is in Propositions 20–21 in Book 3 of Euclid's Elements.
Article summary
In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle. The inscribed angle theorem, sometimes called the central angle theorem, relates the measure of an inscribed angle to that of the central angle intercepting the same arc. Its oldest appearance is in Propositions 20–21 in Book 3 of Euclid's Elements.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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