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 are on a coordinate plane, then they are perpendicular. if lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular. if lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane. if lines are on a coordinate plane, then they have opposite reciprocal slopes.

Explanation:

In an if - then statement, the hypothesis (the 'if' part) is the condition that leads to the conclusion (the 'then' part). The original statement says lines are perpendicular when they have opposite reciprocal slopes on a coordinate plane. So the correct if - then form has the condition of lines on a coordinate plane having opposite reciprocal slopes as the hypothesis and them being perpendicular as the conclusion.

Answer:

If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.