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

Rewrite the following pair of conditionals as a biconditional:

AB¯CD¯if AB=CD; AB¯CD¯only if AB=CD.

Short Answer

Expert verified

The answer for the provided statement is AB¯CD¯if and only if AB=CD.

Step by step solution

01

Step 1. Observe the given symbols.

The symbols represent the condition that is for two segments that AB¯CD¯when AB=CD.

02

Step 2. Identify the biconditional.

Biconditional of the provided conditional will be the regeneration of it with a set of words which are “if and only if” so write the biconditional that is: AB¯CD¯if and only if AB=CD.

03

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

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

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