Construct perpendicular lines from point P to line m. 1. VE

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Page 11
Perpendiculars, Given a Point NOT on the Line
Given:
Line m and Point P not on the line.
Construct a perpendicular from point P to line m.
1. Place compass tip at point P. Using an arbitrary radius, draw arcs
Intersecting line m at two points. Label these points A and B.
2. Using a compass opening greater than } AB , place compass
point at point A. Draw an arc below line m.
3. Using the same compass opening, place compass tip at point B
and draw an arc from point B below line m, intersecting arc from step 2.
4. Label the intersection point X.
5. Draw line PX. This is perpendicular to m through point P.
P.
Construct perpendicular lines from point P to line m.
1.
2.
P
3.
4.
m
m
Transcribed Image Text:Page 11 Perpendiculars, Given a Point NOT on the Line Given: Line m and Point P not on the line. Construct a perpendicular from point P to line m. 1. Place compass tip at point P. Using an arbitrary radius, draw arcs Intersecting line m at two points. Label these points A and B. 2. Using a compass opening greater than } AB , place compass point at point A. Draw an arc below line m. 3. Using the same compass opening, place compass tip at point B and draw an arc from point B below line m, intersecting arc from step 2. 4. Label the intersection point X. 5. Draw line PX. This is perpendicular to m through point P. P. Construct perpendicular lines from point P to line m. 1. 2. P 3. 4. m m
Page 12
PRACTICE
Construct a line perpendicular to the line given through the point P.
1.
2.
• P
3.
4.
5.
6.
Transcribed Image Text:Page 12 PRACTICE Construct a line perpendicular to the line given through the point P. 1. 2. • P 3. 4. 5. 6.
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