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 |
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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.
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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. | ![]() |