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Question
2.5.7 check your understanding
a true conditional statement is given. \if two lines are perpendicular, then the slope of one line is equal to the opposite reciprocal slope of the other line.\ complete the statement.
in order to write the true conditional as a true biconditional statement, the
if the slope of one line is not equal to the opposite reciprocal slope of another line, the two lines will not be perpendicul
if two lines are not perpendicular, then the slope of one line will not be equal to the opposite reciprocal slope of the othe
if the slope of one line is equal to the opposite reciprocal slope of another line, then those two lines are perpendicular.
A biconditional statement is true when both the conditional and its converse are true. The given conditional is about perpendicular lines and slopes. The converse of the given conditional is "If the slope of one line is equal to the opposite reciprocal slope of another line, then those two lines are perpendicular". For the biconditional to be true, the converse must be true.
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converse; If the slope of one line is equal to the opposite reciprocal slope of another line, then those two lines are perpendicular.