6th Grade Math Textbook, Progress

Construct Perpendicular Lines

To construct a perpendicular to a given

line,m, at a given point, P, on m:

Given:

Step 1:Place the compass tip on P.

Construct arcs intersecting line m

at the two points, Aand B.

Step 2:Widen the compass to

construct two intersecting arcs

above point P, one with the center

at Aand one with the center at B.

Label the intersection C.

Step 3:Draw CP. CP⊥m




To construct a perpendicular to a given

line, m: from a given point, P, not onm:

Given:

Step 1:Place the compass tip on P.

Construct arcs intersecting line mat

the two points, Aand B.

Step 2:Using the same compass

setting, construct two intersecting arcs,

one with the center at Aand another

with the center at B. Label the

intersection C.

Step 3:Draw CP. CP⊥m




Trace each line segment. Then construct a line segment

congruent to each.

Trace each line segment. Then construct the perpendicular

bisector of each line segment.

Trace each figure and construct a perpendicular line to 
through P.

7. 
   
   
   
   8. 
      
   
   
   
   


8. Draw a line and pick two points on the line. Construct a perpendicular
   line at each point. What do you discover?

R

S

O M

T N

F

H

C

D X Y

m

P m

P

m

P

C

A B

m

C

AB

P

P

P

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