Question
Using the conditional statement below, match the correct statement to the inverse, converse, contrapositive and biconditional statement If two angles form a linear pair, then they are supplementary. (4 points)
1 If two angles are supplementary, then they form a linear pair
2 Two angles form a linear pair if and only if they are supplementary
3 If two angles are not supplementary, then they do not form a linear pair
4 If two angles do not form a linear pair, then they are not supplementary
1 If two angles are supplementary, then they form a linear pair
2 Two angles form a linear pair if and only if they are supplementary
3 If two angles are not supplementary, then they do not form a linear pair
4 If two angles do not form a linear pair, then they are not supplementary
Answers
GPT 3.5
1 If two angles are supplementary, then they form a linear pair
This statement is the converse of the given conditional statement.
2 Two angles form a linear pair if and only if they are supplementary
This statement is the biconditional statement of the given conditional statement.
3 If two angles are not supplementary, then they do not form a linear pair
This statement is the contrapositive of the given conditional statement.
4 If two angles do not form a linear pair, then they are not supplementary
This statement is the inverse of the given conditional statement.
This statement is the converse of the given conditional statement.
2 Two angles form a linear pair if and only if they are supplementary
This statement is the biconditional statement of the given conditional statement.
3 If two angles are not supplementary, then they do not form a linear pair
This statement is the contrapositive of the given conditional statement.
4 If two angles do not form a linear pair, then they are not supplementary
This statement is the inverse of the given conditional statement.