Question

Use the conditional: If $\overline{AB}$and $\overline{CD}$intersect, then $\overrightarrow{AB}$and $\overrightarrow{CD}$intersect.

Write the converse of the conditional. Is the converse true or false?

Short answer

The answer to the provided statement is true.

Step-by-step solution

Step 1. Observe the given symbols.

The symbols represent the intersection that is among two line segments and two rays.

Step 2. Identify the converse.

The converse of the provided statement will be reverse of it so write the converse that is: if the rays $\overrightarrow{AB}$and $\overrightarrow{CD}$are intersecting, then the segments $\overline{AB}$and $\overline{CD}$are also intersecting.

Step 3. State whether the converse is true or not.

There is no difference between the original conditional and the converse so the converse is true.