- perpendicular line segments from the centre of a circle to a chord bisect the chord
- inscribed angles subtended by the same arc have the same measure
- the measure of a central angle is twice the measure of an inscribed angle subtending the same arc
- tangents to a circle are perpendicular to the radius ending at the point of tangency.
[C, CN, PS, R, T, V]
| (a) |
Observe and describe situations relevant to self, family, or community that involve circles, chords, central angles, inscribed angles, radii, arcs, and/or points of tangency. |
| (b) |
Construct a tangent line to a circle by applying the knowledge that a tangent line to the circle is perpendicular to a radius of the circle. |
| (c) |
Generalize, from personal explorations, the relationship between the measures of inscribed angles subtended by the same arc. |
| (d) |
Generalize, from personal explorations, the relationship between the measure of a central angle and the measure of inscribed angles subtended by the same arc. |
| (e) |
Generalize, from personal explorations, the relationship between a perpendicular line segment from the centre of a circle to a chord and the chord. |
| (f) |
Model how to find the diameter of a circle using an inscribed angle of 90° and explain why the strategy works. |
| (g) |
Describe examples of where First Nations and Métis, past and present, lifestyles and worldviews demonstrate one or more of the circle properties (e.g., tipi and medicine wheel). |
| (h) |
Solve a situational question involving the application of one or more of the circle properties. |
