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

Prove that all circles are similar.

Construct a tangent line from a point outside a given circle to the circle.
problem_activity: Task
You have been asked to place a fire hydrant so that it is an equal distance form three locations indicated on the following map.
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Show how to fold your paper to physically construct this point as an intersection of two creases.
Explain why the above construction works, and in particular why you only needed to make two creases.


correct_option_index: 0