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Chapter 2: Q3 (page 49)

Use the conditional: If AB炉and CD炉intersect, then AB鈫�and CD鈫�intersect.

Rewrite the following pair of conditionals as a biconditional:

AB炉鈮�CD炉if AB=CD; AB炉鈮�CD炉only if AB=CD.

Short Answer

Expert verified

The answer for the provided statement is AB炉鈮�CD炉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炉鈮�CD炉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 鈥渋f and only if鈥� so write the biconditional that is: AB炉鈮�CD炉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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