Here is segment AB and a point C:

Put the steps in order below to create a circle at C whose radius is the length of AB. Mark a point on the circle and label it D. Draw line CD and label its other intersection with the circle as point E.

Let's break down the process to create the circle at point \( C \), with radius \( AB \), and complete the required steps. Here is the correct order of the steps:

1. **Measure the length of segment AB**: Use a ruler or compass to measure the length of segment \( AB \).

2. **Draw a circle with center C and radius AB**: With the compass set to the length of segment \( AB \), place the compass point at \( C \) and draw the circle.

3. **Mark a point on the circle and label it D**: Choose any point on the circumference of the circle and mark it as point \( D \).

4. **Draw a line from point C to point D**: Using a ruler, draw line \( CD \) connecting points \( C \) and \( D \).

5. **Label the other intersection of line CD with the circle as point E**: Extend line \( CD \) if necessary, and label the other intersection of the circle with line \( CD \) as point \( E \).

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### Do you want any additional details on this process or have any questions?

Here are 5 follow-up questions related to this concept:

1. What is the relationship between the points \( D \) and \( E \) on the circle?
2. How can we prove that \( CD \) and \( CE \) are equal in length?
3. Why is point \( E \) necessarily on the circle?
4. Can we draw another circle with a different radius using the same steps?
5. How would this construction change if point \( C \) were outside of the segment \( AB \)?

**Tip**: When constructing circles and using a compass, be sure to keep the compass point steady to ensure accurate and consistent measurements.

Learn how to construct a circle at point C with radius AB. Follow a detailed step-by-step guide including measuring segment AB, drawing the circle with center C, marking a point D on the circle, drawing line CD, and labeling the intersection point E.

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