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# 9 2 Tangents

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### 9 2 Tangents

1. 1. 9-2 Tangents
2. 2. Theorem <ul><li>If a line is tangent to a circle then the line is ___________ to the radius drawn to the point of tangency. </li></ul>perpendicular
3. 3. Theorem <ul><ul><li>If two segments from the same exterior point are tangent to a circle, then they are congruent. </li></ul></ul>S R P T __ __ SR  ST
4. 4. Theorem <ul><ul><li>If a line is  to a radius </li></ul></ul><ul><ul><li>of a circle at its endpoint </li></ul></ul><ul><ul><li>on the circle, then the </li></ul></ul><ul><ul><li>line is tangent to </li></ul></ul><ul><ul><li>the circle </li></ul></ul>
5. 5. Tangent Circles Two circles that intersect at one point. Externally Tangent
6. 6. Tangent Circles Two circles that intersect at one point. Internally Tangent
7. 7. Common Tangent <ul><li>A line that is tangent to two circles. </li></ul><ul><ul><li>External - Does NOT cut through the line that connects the circles centers </li></ul></ul>
8. 8. Common Tangent <ul><li>A line that is tangent to two circles. </li></ul><ul><ul><li>Internal - cuts through the line that connects the circles centers </li></ul></ul>
9. 9. SPICSA <ul><li>335 2-14 even </li></ul>