Name Theorem Hypothesis Conclusion If a line is tangent to a circle, then it is Perpendicular Tangent perpendicular to the Theorem radius drawn to the point of tangency. If a line is perpendicular Converse of to a radius of a circle at Perpendicular Tangent a point on the circle, Theorem then the line is tangent to the circle. Example: Is AB tangent to Circle C? Example: Find ST. Example: Find AB. Name Theorem Hypothesis Conclusion If two segments are tangent to a circle from Tangent Segments the same external point, Theorem then the segments are congruent. Example: Find perimeter of triangle ABC. Example: Find DF if you know that DF and DE are tangent to. Chord Properties Name Theorem Hypothesis Conclusion
Name Theorem Hypothesis Conclusion Perpendicular Tangent Theorem If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. Converse of Perpendicular Tangent Theorem If a line is perpendicular to a radius of a circle at a point on the circle, then the line is tangent to the circle. Example: Is AB tangent to Circle C? Example: Find ST. Example: Find AB. Name Theorem Hypothesis Conclusion Tangent Segments Theorem If two segments are tangent to a circle from the same external point, then the segments are congruent. Example: Find perimeter of triangle ABC. Example: Find DF if you know that DF and DE are tangent to. Chord Properties Name Theorem Hypothesis Conclusion
Day-1-Notes-Parts-of-Circles-on-level-2mpm1s3.docx