Novigation ,:. ohd ]nore
You'll Leorn .ing segmentsand to lines zing paratlel
nesand paratlelplanes t.:.:,'
And Why
M?oy geometricfigures,suchas squaresand angles,useonly andrays. the partsof linescalledsegrnents : A ray is thepartof a line A segmentis the part of a
of terms a vocabutary for communicatingin
try
consisting of one endpoint and all'the points of the line on'one side of the endpoint.
line.consistingof two . endpointsand all points betweenthem.
Whot Yo_u'llNeed graph pape4 colored ,pencils, tape
raYYX
seqmentAB ./^n\ww\
/^ endpoint
rn Ab
A
" \ endpoint
.F Yx
r
\ endpoint
l
1. ls ef thesameas n,q,?ExPlain. A ray in geometryis named after the raysof the sun.
2. Is YL tltesameas xl ? Explain. 3. How is a ray like a iine? How is u tuy diffet"nt from a llne'/ Opposite rays are two collinear rays with the same . endpoint. Opposite rays always form a line. . . , ::.. ''
it,4,
a. Name four different rays in the figure below.
t.€j.,.
b.
:4.:X,
:
Name two opposite rays.
a do not intersect may or may not be coplanar. are'coplanarlines that do not intersect. rays are parallel if they lie in parallel lines.
/"
trF Read "is parallel to." a--------- - -
A BllE r
5. Name all the segments.shownat the left that are parallel to: a. DC
b. GJ
c. AE
Skew lines do not lie in the sameplane.They are neitherparallelnor intersecti ng. AB and f11 are skew: Parallel planes are planes that do not intersect. planeAB('1) l! planeCHIJ some other pairs of skew lines in the diagram at the more pairs of parallel planes. is a good way to representparallel lines and lines, and parallel planes.Some other ways to shown below.
8. Which pairs of planes shown above are parallel? Which are intersectins?
l tl M l ttl l l
I
l ttl
ttl l
l l ,tl t
:r I I
Draw planes A and B intersectingin FG.
I I
Using graph paper will help you draw parallel lines and representationsof planes.
I I I I
Step 1
Step 2
I
Step 3
T I I I T I I I T I I I :,:!ii liri*i
9. Try This Use graph paper and colored pencils to draw pairs of parallel and intersecting planes like those above euestion g.
17 :]
a*i'*tt{g Work in pairs to answer thesequestionsabout the lines and planes determinedby the surfacesof a rectangular solid. Stack your geonietry books to form a rectangular solid. Label the verticesP,Q,R,S,T,(J,V, andW.Identify eachof the following. 10. three pairs of parallel planes 11. all lines that are parallel to PQ 12. all lines that are skew to PO