Circle Geometry Conjecture: a mathematical statement that appears likely to be true, based on your observations, but has not been proven.

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Presentation transcript:

Circle Geometry Conjecture: a mathematical statement that appears likely to be true, based on your observations, but has not been proven

Conjectures about ARCs & ANGLES… The measure of a central angle equals the measure of its corresponding minor arc

Conjectures about ARCs & ANGLES… The measure of a central angle is 360o minus the measure of the major arc with the same endpoints as the central angle

Conjectures about ARCs & ANGLES… The measure of an inscribed angle in a circle equals half of the measurement of the arc it intercepts (or the central angle) central angle inscribed angle

Conjectures about ARCs & ANGLES… All inscribed angles that intercept the same arc will have the same measurement arc CB

Conjectures about ARCs & ANGLES… If an inscribed angle intercepts a semicircle, then it has a measure of 90o