Construct a Tangent From a Point Outside a Circle

1) Draw a line connecting the point C to the center of the circle A.[br]2) Construct the perpendicular bisector of that line[br] a)Place a point on the line[br] b) Using the compass tool create a circle with a radius from that new point to A, centered at A.[br] c) Without creating a new compass, click the new point, then A but this time move the compass circle  to be centered at C (We wanted the same radius compass just centered at C this time not A)[br] d) Click Intersect then select the two circles you just drew. Their intersection points will appear[br] e) Create a line segment between these two points, this is the perpendicular bisector[br]3) Create a compass circle with a center of this new midpoint and a radius to either A or C. So the circle should go through A and C with a center of the new midpoint[br]4) Where that circle intersects the original circle are the points of tangency. Click intersect then select the new circle you just created and the original circle.[br]5) Now construct a line from these new points to the external point C. These are your tangent lines to the circle that intersect and an external point.[br]6) Select the TEXT tool from the 5th toolbar box, and type your name on the construction before you screenshot it for your assignment.
Construct both tangents to circle A through point C.

Information: Construct a Tangent From a Point Outside a Circle