Segments perpendicular to PQ have slopes that are negative reciprocals of 5/2, which is -2/5. So, any segment with a slope of -2/5 is perpendicular to PQ.
To determine which segments are perpendicular to PQ, we need to consider the negative reciprocal of the slope of PQ. The negative reciprocal of a slope m is given by -1/m
Given that the slope of PQ is 5/2, its negative reciprocal is −2/5. Any segment with a slope of −2/5 will be perpendicular to PQ.
Therefore, segments that are perpendicular to PQ have slopes that are negative reciprocals of 5/2, i.e., −2/5. If a segment has a slope of −2/5, it is perpendicular to PQ.In summary, any line or segment with a slope of −2/5 is perpendicular to PQ. It's important to note that there can be multiple segments perpendicular to PQ, as long as their slopes are negative reciprocals of 5/2.