Download Circle Geometry Content Map

How can I use measurements to solve problems and communicate ideas?
I. When can the properties of circles help me to solve problems?
A.
4. The tangent to a circle is perpendicular to the radius at the point of tangency.
B.
3. Inscribed angles by the same arc are congruent.
C.
2. The central angle measure is equal to twice the measure of the inscribed angle subtended by the same arc.
D.
1. The perpendicular from the centre of a circle to a chord bisects the chord.
Math 9 - Shape and Space (Measurement)
General Outcome:
Use direct and indirect measurement to solve problems.
Specific Outcome 1 -- Circle Geometry (Chapter 10):
Solve problems and justify the solution strategy, using the following circle properties:
• the perpendicular from the centre of a circle to a chord bisects the chord
• the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
• the inscribed angles subtended by the same arc are congruent
• a tangent to a circle is perpendicular to the radius at the point of tangency.