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How to construct a line perpendicular to a given line L through point A on L.

How to construct a line perpendicular to a given line L through point A on L. Given Line L through point A. Steps:. 1. Let B be an arbitrary point on Line L. 2 . Construct C on Line L on the opposite side of A such that CA=CB.

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How to construct a line perpendicular to a given line L through point A on L.

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  1. How to construct a line perpendicular to a given line L through point A on L. Given Line L through point A Steps: 1. Let B be an arbitrary point on Line L 2. Construct C on Line L on the opposite side of A such that CA=CB 3. Construct equilateral triangle BCD where on line CB where D is the point of intersection 4. Draw Line AD D 5. ∴ AD⊥L Construction: L C A B

  2. How to construct a line perpendicular to a given line L through point A on L. Given Line L through point A Steps: 1. Let B be an arbitrary point on Line L Construction: L A B

  3. 2. Construct C on Line L on the opposite side of A such that CA=CB C

  4. 3. Construct equilateral triangle BCD where on line CB where D is the point of intersection D

  5. 4. Draw Line AD 5. ∴ AD⊥L

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