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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 statement in if - then form has a hypothesis (the part after "if") and a conclusion (the part after "then"). The original statement "Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes" means that the condition of having opposite reciprocal slopes (hypothesis) leads to the result of being perpendicular (conclusion).
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If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.