Question

When a statement and its converse are both true, they can be combined into one statement called a _?_.

Short answer

When a statement and its converse are both true, they can be combined into one statement called abi- conditional statement.

Step-by-step solution

Step 1. Find the definition or concept that can be used.

Bi-conditional statement is a statement in which the statement and its converse are true.

Step 2. To observe certain examples of bi-conditional statement.

If two line segments are congruent then they are of equal length and if two line segments are of equal length then they are congruent.

Step 3. to use certain words to combine the statemnet and its converse both being true.

The basic form of bi-conditional statement by using if and only if is as follows:

P if and only ifQ .

Hence, the appropriate statement is bi-conditional statement.