Circle Geometry
description
Transcript of Circle Geometry
![Page 1: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/1.jpg)
Circle GeometryCircle Geometry
Conjecture: a mathematical statement that appears likely to be true, based on your observations, but has not been proven
![Page 2: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/2.jpg)
Conjectures about ARCs & Conjectures about ARCs & ANGLES…ANGLES…3. The measure of a central angle
equals the measure of its corresponding minor arc
![Page 3: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/3.jpg)
Conjectures about ARCs & Conjectures about ARCs & ANGLES…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
![Page 4: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/4.jpg)
Conjectures about ARCs & Conjectures about ARCs & ANGLES…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)
inscribed angle
central angle
![Page 5: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/5.jpg)
6. All inscribed angles that intercept the same arc will have the same measurement
Conjectures about ARCs & Conjectures about ARCs & ANGLES…ANGLES…
arc CB
![Page 6: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/6.jpg)
7. If an inscribed angle intercepts a semicircle, then it has a measure of 90o
Conjectures about ARCs & Conjectures about ARCs & ANGLES…ANGLES…
![Page 7: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/7.jpg)
Conjectures about Conjectures about CHORDS…CHORDS…1. The
perpendicular bisector of a chord will pass through the centre of the circle
![Page 8: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/8.jpg)
Conjectures about Conjectures about CHORDS…CHORDS…2. Congruent
chords in a circle are equal distance from the center of the circle
![Page 9: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/9.jpg)
Conjectures about Conjectures about TANGENTS…TANGENTS…8. When a
tangent line and a radius intersect at the point of tangency, the two lines will be perpendicular
radius
tangent line
point of tangency
![Page 10: Circle Geometry](https://reader035.fdocuments.us/reader035/viewer/2022081421/5681589b550346895dc5f884/html5/thumbnails/10.jpg)
Conjectures about Conjectures about TANGENTS…TANGENTS…9. If two tangent segments
intersect outside a circle, then the tangent segments have equal measures