Questions: C. With the same compass setting as the previous step, put the compass point on C and draw another arc that intersects the arc constructed in the previous step.

Solution Steps

The question appears to be about geometric construction steps, which typically involve using a compass and straightedge. However, since it is not a computational problem, it does not require a Python solution. Instead, it is asking for a specific step in a geometric construction process.### Step 1: Understanding the Problem We need to determine the fourth step of a geometric construction. The options provided are different instructions involving the use of a compass and points \(C\) and \(R\).

Let's break down each option to understand what it instructs:

• Option B: Open the compass to length \(XY\). Put the compass point on \(C\) and draw another arc that intersects the arc constructed in the previous step.
• Option C: With the same compass setting as the previous step, put the compass point on \(C\) and draw another arc that intersects the arc constructed in the previous step.
• Option D: Open the compass to length \(XY\). Put the compass point on \(R\) and draw another arc that intersects the arc constructed in the previous step.

To determine the correct fourth step, we need to consider the logical sequence of a typical geometric construction. Usually, the steps involve:

1. Drawing a base line or segment.
2. Using a compass to draw arcs from specific points.
3. Ensuring the arcs intersect at the correct locations.

Given that the previous step involved drawing an arc, the fourth step should logically continue from that point.

Final Answer