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More Lessons for High School Regents Exam

Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED.

1) If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of tangency.

2) Tangent segments to a circle from the same external point are congruent.

Radii to Tangents :

When a radius is drawn to a point of tangency, the angle formed is always a right (90 degree) angle. This fact is commonly applied in problems with two tangent segments drawn to a circle from a point. If two radii to tangents are drawn in, a kite with two right angles is formed and the missing angles or sides can be found. Related topics include central angles, tangent segments to a circle, and chords.

Tangent Segments to a Circle :

A tangent intersects a circle in exactly one point. When two segments are drawn tangent to a circle from the same point outside the circle, the segments are congruent. Topics related to circle radii include inscribed circles and radii to tangents.

Tangents to a Circle

In this lesson we looked at properties of tangents to a circle If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of tangency. Tangent segments to a circle from the same external point are congruent.

If a line is tangent to a circle, then the line is perpendicular to the radius at the point of tangency. If a line is perpendicular to a radius at its outer endpoint, then the line is tangent to the circle.

Solving some problems using properties of tangents to a circle

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