Mathematics | Course : Model Mathematics II (Integrated Pathway)
Domain - Circles
Cluster - Understand and apply theorems about circles.
[MII.G-C.A.2] - Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
- Tangent
a) Meeting a curve or surface in a single point if a sufficiently small interval is considered. b) The trigonometric function that, for an acute angle, is the ratio between the leg opposite the angle and the leg adjacent to the angle when the angle is considered part of a right triangle.
[MII.G-CO.C.9] -
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent, and conversely prove lines are parallel; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
[MII.G-C.A.4] -
(+) Construct a tangent line from a point outside a given circle to the circle.
[PC.G-C.A.4] -
(+) Construct a tangent line from a point outside a given circle to the circle.
[AQR.G-C.A.4] -
(+) Construct a tangent line from a point outside a given circle to the circle.