Based on the construction of a parallel line shown, determine whether each pair of lines appears to be parallel or perpendicular.



A line segment a b and points h, p, and e are shown. Points p and e are on opposite sides of the line and are roughly equidistant from the line. Point h is on the same side of the line as point e. A semicircle drawn centered at p intersects the line segment at points labeled c and d. Two arcs centered at the points c and d intersect at point e. Another line segment passes through p and e. Another semicircle centered at p intersects the line segment that passes through p and e at points f and g. Two arcs drawn centered at the points f and g intersect at point h. A third line segment passes through h and p.

(1 point)
parallel perpendicular
PE←→
and PH←→
parallel – over left right arrow cap p cap e and over left right arrow cap p cap h
perpendicular – over left right arrow cap p cap e and over left right arrow cap p cap h
AB←→
and PE←→
parallel – over left right arrow cap A cap b and over left right arrow cap p cap e
perpendicular – over left right arrow cap A cap b and over left right arrow cap p cap e
AB←→
and PH←→
parallel – over left right arrow cap A cap b and over left right arrow cap p cap h
perpendicular – over left right arrow cap A cap b and over left right arrow cap p cap h

Based on the given information, it appears that the lines AB←→ and PE←→ are parallel.