Problem

Analyze the displayed construction on segment \(AB\). Identify the invalid \(\text{one}\text{-}\text{center}\) arc step, give the permitted correction using \(\text{one}~\text{radius}\) \(r>AB/2\), and state the equal-distance condition the correction restores.

Segment AB with one partial construction circle centered at A is shown.

Answer choices

Choose your path.

Preview only

invalid action = drawing arcs centered at only A; correction = with the same radius r>AB/2, draw arcs centered at both A and B; restored condition = PA=PB

invalid action = drawing the line through the two intersections; correction = use only one intersection; restored condition = PA≠PB

invalid action = requiring r>AB/2; correction = use r<AB/2; restored condition = PA=PB

invalid action = using the same radius at A and B; correction = use unequal radii; restored condition = PA=PB

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Analyze the displayed construction on segment \(AB\). Identify the invalid \(\text{one}\text{-}\text{center}\) arc step, give the permitted correction using \(\text{one}~\text{radius}\) \(r>AB/2\), and state the equal-distance condition the correction restores.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.