True or False? The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Question
True or False?
The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.
A. True
B. False
SUBMIT
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Solution
Answer
True.
Explanation
The statement is based on the properties of circles in geometry. Specifically, the angle formed between a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc of the circle. This can be stated mathematically as:
where is the point of tangency, is the endpoint of the chord, and and are the points on the circle that define the intercepted arc. Therefore, the statement provided is true.
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