when a conditional and its converse are true, you can combine them as a true statement; an if and only if.
the part following the "then"
an if-then statement
of a conditional switches the hypothesis and the conclusion
logical reasoning; the process of reasoning logically from given statements to a conclusion
the part following the "if"
Law of Detachment
if a conditional is true and its hypothesis is true, then its conclusion is true.
Law of Syllogism
allows you to state a conclusion from two true conditional statements when the conclusion of one conditional statement is the hypothesis of the other statement.
a written as sentences in a paragraph
a=a/ line AB is congruent to line AB
if a=b, the b=a/ if a is congruent to b, then b is congruent to a
a statement that you prove true
if a=b and b=c, then a=c/ if a is congruent to b and b is congruent to c, then a is congruent to c
The "true" or "false" part of a statement according to whether the statement is true or false, respectively