To find: How are the slope of a line tangent to a
Hence, Slope of a line tangent to a circle and slope of the radius at the point of tangency is negative reciprocal of each other.
Given: Slope of a line tangent to a circle and slope of the radius at point of tangency.
Concept Used: Slopes of perpendicular lines are negative reciprocal of each other.
Explanation:
From the figure:
As we can see that
Radius is perpendicular to the tangent of circle.
Slope of a line tangent to a circle and slope of the radius at the point of tangency is negative reciprocal of each other.
Conclusion:
Hence, Slope of a line tangent to a circle and slope of the radius at the point of tangency is negative reciprocal of each other.
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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