Question

melvin made the three drawings below. which drawing or drawings contain overleftrightarrow{ab}? ii and iii ii only i only i, ii, and iii

Explanation:

Step1: Recall the definition of a line

A line extends infinitely in both directions. The notation \(\overleftrightarrow{AB}\) represents a line passing through points \(A\) and \(B\).

Step2: Analyze Drawing I

In Drawing I, there is a line that passes through points \(A\) and \(B\) (even though there are other points \(C\) and \(D\) on the intersecting lines, the line containing \(A\) and \(B\) exists as part of the geometric figure).

Step3: Analyze Drawing II

In Drawing II, the line segment is extended (as indicated by the arrow - like ends), and the line passes through points \(A\) and \(B\).

Step4: Analyze Drawing III

In Drawing III, if we consider the line (since lines extend infinitely), we can imagine the line passing through \(A\) and \(B\) (even though there are other perpendicular lines and points \(C\) and \(D\), the line \(\overleftrightarrow{AB}\) is part of the figure).

Answer:

I, II, and III