please give the justification for " constructio of tangets to a circle from a point outside the circle"angents To A Circle From A Point Outside The CircleConstruction Of Tangents To A Circle From A Point Outside The Circle
|After doing this||Your work should look like this|
We start with a given circle with center O, and a point P outside the circle.
|1. Draw a straight line between the center O of the given circle and the given point P.|
2. Find the midpoint of this line by constructing the line's perpendicular bisector.
|3. Place the compass on the midpoint just constructed, and set it's width to the center O of the circle.|
|4. Without changing the width, draw an arc across the circle in the two possible places. These are the contact points J, K for the tangents.|
|5. Draw the two tangent lines from P through J and K.|
|6. Done. The two lines just drawn are tangential to the given circle and pass through P.|