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Draw a line segment AB of length 5cm . At A and B , construct line perpendicular bisector of AB . Are these three lines parallel to each other ? Justify your answer . Please solve it by showing figure . |
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Answer» -step explanation:IMAGEHere the length of AB = 5cm DA is PERPENDICULAR to AB. EB is perpendicular to AB. Two lines perpendicular to same line are PARALLEL to each other. ALSO \angle1 =\angle 3 = 90^{o}∠1=∠3=90oSo \angle1 + \angle3 = 180^{o}∠1+∠3=180oIf the sum of co interior angles = 180°, the lines are parallel. Hence AD || BE Now we construct the perpendicular bisector of AB which INTERSECTS AB at C Again \angle1= \angle2 = 90^{o}∠1=∠2=90oSo \angle1 + \angle2 = 180^{o}∠1+∠2=180oWe know If the sum of co interior angles = 180°, the lines are parallel. Hence AD || CF Now BE ||AD || CF Hence all the three lines are parallel to each other. Please mark as brainliest answer.............. |
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