Learning Domain: Geometry: Circles
Standard: Prove that all circles are similar.
Learning Domain: Geometry: Circles
Standard: 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.
Learning Domain: Geometry: Circles
Standard: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Learning Domain: Geometry: Circles
Standard: Construct a tangent line from a point outside a given circle to the circle.
Learning Domain: Geometry: Circles
Standard: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
Cluster: Understand and apply theorems about circles
Standard: Prove that all circles are similar.
Cluster: Understand and apply theorems about circles
Standard: 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.
Cluster: Understand and apply theorems about circles
Standard: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Cluster: Understand and apply theorems about circles
Standard: Construct a tangent line from a point outside a given circle to the circle.
Cluster: Find arc lengths and areas of sectors of circles
Standard: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.