SOLUTION: Decide if the statement is true or false, form the converse, and decide if the converse is true or false. If both the statement and its converse are true, write a biconditional equ

Algebra.Com
Question 193665: Decide if the statement is true or false, form the converse, and decide if the converse is true or false. If both the statement and its converse are true, write a biconditional equivalent to the two statements.
...If two angles are adjacent, then they have a common vertex.

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
statement: IF two angles are adjacent, THEN they have common vertex, and a common side.
converse: IF two angles have a common vertex, and a common side, THEN they are adjacent angles.
Both original statement, and converse are true( in this case only, not usually)
therefore we can write a biconditional,
Two angles are adjacent, IF AND ONLY IF, they have a common vertex, and a common side.

RELATED QUESTIONS

decide if the statement is true or false -(-23) >... (answered by rfer)
Tell whether each statment is true or false. Then write the converse and tell whether it... (answered by engchunh)
Given the following conditional statement, write the converse, the inverse, and the... (answered by solver91311)
Write down the converse of the following statement. If n is a multiple of 3 then n is... (answered by richard1234)
Write down the converse of the following statement. if n is prime then n is not... (answered by robertb)
Write the converse of the following true conditional statement. If the converse is false... (answered by Theo)
Decide whether the given statement is true or false. If​ false, correct the right... (answered by math_helper,Boreal)
Decide whether the given statement is true or false. If​ false, correct the right... (answered by Alan3354)
Decide whether the given statement is true or false. If​ false, correct the right... (answered by stanbon)