6th Grade Math Textbook, Fundamentals

Lesson 9-6 for exercise sets. &KDSWHU 

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Use a compass and a straightedge to complete each construction.

1. Construct a line perpendicular to a line pthrough a point D

that is online p.

2. Construct a line perpendicular to a line qthrough a pointE

that is noton line q.

3. Construct a line parallel to a linerthrough a point Fthat is

noton line r.

4.Discuss and Write How can constructing perpendicular line segments

help you construct parallel line segments? Explain.

To construct a line parallel to a given line through a given point:

Draw a line RJ. Draw and label a point K

not on line RJ.

Draw a line through Kto intersect line RJ

at point R.

Place the compass point at pointR, and draw

an arc intersecting lines RKand RJ. Label the

point where this arc crosses line RJas pointM

and label where it crosses line RKas point L.

Using the same compass opening, place the

compass point on point Kand draw an arc

intersecting lines RKand RJ. Label the point

where it crosses line RJas point Oand where

it crosses line RKas point N.

Open the compass to the distance between Land M.

Use this new distance to draw an arc with the

compass point on point Nintersecting the arc NO.

Label this point P. Draw a line through points K

and P. Line KPis parallel to line RJ.

KP RJ

K

R J

R J

K

K

M J

L

R

K

M J

L

R O

N

K

M J

L

RO

P

N