options: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Prove that all circles are similar.

Construct a tangent line from a point outside a given circle to the circle.

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.
problem_activity: Circle
$$A$$
is shown below.
[IMG]
Draw two diameters of the circle.
Identify the shape defined by the end points of the two diameters.
Explain why this shape is always the result.


correct_option_index: 3