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 thisYour work should look like this

We start with a given circle with center O, and a point P outside the circle.

Geometry construction with compass and straightedge or ruler or ruler
1. Draw a straight line between the center O of the given circle and the given point P.Geometry construction with compass and straightedge or ruler or ruler

2. Find the midpoint of this line by constructing the line's perpendicular bisector.

 

Geometry construction with compass and straightedge or ruler or ruler
3. Place the compass on the midpoint just constructed, and set it's width to the center O of the circle.Geometry construction with compass and straightedge or ruler or ruler
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.Geometry construction with compass and straightedge or ruler or ruler
5. Draw the two tangent lines from P through J and K.Geometry construction with compass and straightedge or ruler or ruler
6. Done. The two lines just drawn are tangential to the given circle and pass through P.Geometry construction with compass and straightedge or ruler or ruler

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