Question

A 16-centimeter segment, AB¯¯¯¯¯¯¯¯
, is bisected at point O
. Then, those segments, AO¯¯¯¯¯¯¯¯
and BO¯¯¯¯¯¯¯¯
, are bisected. How long is each new segment?(1 point)
cm

Answer 1

To find the length of each new segment after the given bisections, we can follow these steps:

1. **Initial Segment AB:** The length of segment AB is 16 centimeters.

2. **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:
\[
AO = OB = \frac{16 \, \text{cm}}{2} = 8 \, \text{cm}
\]

3. **Second Bisection:** Next, both segments AO and OB are bisected again.

- For segment AO, which is 8 cm:
\[
AO_{new} = \frac{8 \, \text{cm}}{2} = 4 \, \text{cm}
\]

- For segment OB, which is also 8 cm:
\[
OB_{new} = \frac{8 \, \text{cm}}{2} = 4 \, \text{cm}
\]

Therefore, each of the new segments created after the second bisection is \(4\) centimeters long.

**Final Answer:** Each new segment is \( 4 \, \text{cm} \).