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