|
|
To erect a perpendicular to a line segment at the extremity of the segment. |
|
|
To erect a perpendicular to a line segment at the extremity of the segment. |
| Given: Point B, the extremity of the line segment AB. |
| Required: To erect a perpendicular to AB at B |
| Procedure: |
|
|
Choose any point O, not on AB; Use the segment command under the
construct menu and construct segment OB. |
|
Use the circle by center + radius command to construct a circle with
center O and radius congruent to segment OB. |
|
Label the second point of intersection of the circle
with the segment AB, C. |
|
Use the ray command under the construct menu and construct ray CO. |
|
Label point D, the intersection of the ray with the
circle. |
|
Use the segment command under the construct menu and construct segment DB. |
DB  AB. |
| Proof: |
 DBC is
a right
( An
inscribed in a semicircle is a right angle.) |
 DB 
AB
(The sides of a right
are
to each other.) |
| Sketch: On the sketch below, drag point O and explain what is happening. |
|
This page uses JavaSketchpad, a World-Wide-Web component of The Geometer's Sketchpad. Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial use. perpendicular to point at end of line segment |
|
|
