To find the length of each new segment after the given bisections, we can follow these steps:
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Initial Segment AB: The length of segment AB is 16 centimeters.
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First Bisection at Point O: When segment AB is bisected at point O, it is divided into two equal segments, AO and OB. Each of these segments will be: \[ AO = OB = \frac{16 , \text{cm}}{2} = 8 , \text{cm} \]
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Second Bisection: Next, both segments AO and OB are bisected again.
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For segment AO, which is 8 cm: \[ AO_{new} = \frac{8 , \text{cm}}{2} = 4 , \text{cm} \]
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For segment OB, which is also 8 cm: \[ OB_{new} = \frac{8 , \text{cm}}{2} = 4 , \text{cm} \]
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Therefore, each of the new segments created after the second bisection is \(4\) centimeters long.
Final Answer: Each new segment is \( 4 , \text{cm} \).
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