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

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.

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: Task
You have been asked to place a warehouse so that it is an equal distance from the three roads indicated on the following map. Find this location and show your work.
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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: 1