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

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

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

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

4 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) inscribed angle central angle

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

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


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