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Topic Content:
- Construct a Tangent to a Circle at a given Point to the Circle
- Construct a Tangent to a Circle from a Point Outside a Circle
- Construct Tangent to Two Equal Circles:
Construct a Tangent to a Circle at a given Point to the Circle:
| S/N | Steps | Activity |
|---|---|---|
| 1. | Indicate a point P somewhere on a given circle, with centre point O. |  |
| 2. | Draw a straight line from the centre O, through the given point P outward. |  |
| 3. | With the compass on centre P and a width less than distance OP, draw an arc on each side of P. This creates the points Q and R as shown. |  |
| 4. | Set the compass on Q and set it to any width greater than the distance QP. |  |
| 5. | Without changing the compasses’ width, draw an arc approximately in the position shown on one side of P. |  |
| 6. | Without changing the compasses’ width, move the compasses to R and make another arc across the first, creating point S. |  |
| 7. | Draw a line through P and S. |  |
| 8. | Done. The line PS just drawn is the tangent to the circle O through point P. |  |
Construct a Tangent to a Circle from a Point Outside a Circle:
Steps:
1. Draw a circle with centre O.
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