Use a paragraph proof to complete this exercise.
Given: |
|
Prove: |
|
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To prove:
In a circle with centre O,
Given:
In a circle with centre O,
Theorem used:
The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc.
Central angle postulate:
In a circle, the degree measure of a central angle is equal to the degree measure of its intercepted arc.
Proof:
Consider a circle with center O.
Let
From the figure, we see that
By central angle postulate,
From the figure we see that
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