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Circle Geometry

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

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Circle Geometry

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  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… 3. The measure of a central angle equals the measure of its corresponding minor arc

  3. Conjectures about ARCs & ANGLES… 4. The measure of a central angle is 360o minus the measure of the major arc with the same endpoints as the central angle

  4. Conjectures about ARCs & ANGLES… 5. 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

  5. Conjectures about ARCs & ANGLES… 6. All inscribed angles that intercept the same arc will have the same measurement arc CB

  6. Conjectures about ARCs & ANGLES… 7. If an inscribed angle intercepts a semicircle, then it has a measure of 90o

  7. Conjectures about CHORDS… 1. The perpendicular bisector of a chord will pass through the centre of the circle

  8. Conjectures about CHORDS… 2. Congruent chords in a circle are equal distance from the center of the circle

  9. Conjectures about TANGENTS… 8. When a tangent line and a radius intersect at the point of tangency, the two lines will be perpendicular point of tangency radius tangent line

  10. Conjectures about TANGENTS… 9. If two tangent segments intersect outside a circle, then the tangent segments have equal measures

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