Write the following reversible statement as a biconditional:
If two perpendicular lines intersect, they form four 90° angles.
(1 point)
Responses
Two intersecting lines are perpendicular if and only if they form four 90° angles.
Two intersecting lines are perpendicular if and only if they form four 90° angles.
Two intersecting, perpendicular lines do not form four angles.
Two intersecting, perpendicular lines do not form four angles.
Four 90° angles are formed by intersecting lines.
Four 90° angles are formed by intersecting lines.
Perpendicular lines do not intersect.
Two intersecting lines are perpendicular if and only if they form four 90° angles.
Two intersecting lines are perpendicular if and only if they form four 90° angles.
To rewrite the given statement as a biconditional, we need to combine the original statement and its converse. The converse of the given statement is "If two lines form four 90° angles, then they are perpendicular."
Now, let's combine the original statement and its converse into a biconditional:
"Two lines are perpendicular if and only if they form four 90° angles."
This sentence is a biconditional because it states that the two conditions of "being perpendicular" and "forming four 90° angles" are equivalent.