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Use the conditional: If AB¯and CD¯intersect, then ABand CDintersect.

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

Short Answer

Expert verified

The answer to the provided statement is true.

Step by step solution

01

Step 1. Observe the given symbols.

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

02

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 ABand CDare intersecting, then the segments AB¯and CD¯are also intersecting.

03

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.

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