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question 7
is the following definition of perpendicular reversible? if yes, write it as a true biconditional.two lines that intersect at right angles are perpendicular.
the statement is not reversible.
yes; two lines intersect at right angles if (and only if) they are perpendicular.
yes; if two lines are perpendicular, then they intersect at right angles.
yes; if two lines intersect at right angles, then they are perpendicular.
A biconditional statement combines a conditional statement and its converse. The statement "Two lines that intersect at right - angles are perpendicular" has a reversible converse. The biconditional form is "two lines intersect at right angles if (and only if) they are perpendicular", which means both the original statement and its converse are true.
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Yes; two lines intersect at right angles if (and only if) they are perpendicular.