Question

Print, then use the following image to create a tangent line. Upload the constructed image as your final answer.

Answer 1

steps below

Explanation:

To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle

1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, then the segment OP becomes the hypotenuse of the right triangle.

2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.

Construction:

1. connect P and circle center "O"

2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP

3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"

4. PT and PT' are the tangent lines