Prove that the Straight Lines Perpendicular to the Same Straight Line Are Parallel to One Another. - CBSE Class 9 - Mathematics
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Prove that the straight lines perpendicular to the same straight line are parallel to one
Let AB and CD perpendicular to the Line MN
`∠`ABD = 90° [∵ AB ⊥ MN ] ......(i )
`∠`CON = 90° [ ∵ CD ⊥ MN] ......(ii)
`∠`ABD = `∠`CDN = 90° [From (i) and (ii)]
∴AB || CD, Since corresponding angles are equal.
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Solution Prove that the Straight Lines Perpendicular to the Same Straight Line Are Parallel to One Another. Concept: Parallel Lines and a Transversal.