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

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

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

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

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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

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

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

C

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

D

4. Draw Line AD

5. ∴ AD⊥L