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Question
how can the statement be rewritten as a conditional statement in if-then form?
lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes.
○ if lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.
○ if lines are on a coordinate plane, then they are perpendicular.
○ if lines are on a coordinate plane, then they have opposite reciprocal slopes.
○ if lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
A conditional if-then statement rearranges the given statement so that the condition (the "if" part) comes first, followed by the result (the "then" part). The original statement states that the condition for lines being perpendicular is having opposite reciprocal slopes. We rephrase this to put the condition first.
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If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.