6.3 Investigation 1: Tangents
6.3 Investigation 1: Tangents
Investigation 1
Step 1: Construct a large circle. Label the center . (Completed for you)
Step 2: Construct the tangent line to circle with the point of tangency at point using the tangent line tool. Click the point and then circle . Construct segment .
Step 3: Mark a point on the tangent line, label it . Construct using the angle tool. Now you should have the measure of the angle.
Step 4: What is the measure of the angle formed by the tangent line and the radius?
Step 5: Move point around. Does the angle measure change?
Compare your results with others near you state your observations as the next conjecture.
Tangent Conjecture
A tangent to a circle is _____________________________ to the radius drawn to the point of tangency.