S EGMENTS, R AYS, P ARALLEL L INES AND P LANES Chapter 1 Section 4.
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SEGMENTS, RAYS, PARALLEL LINES AND PLANES Chapter 1 Section 4
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Transcript of S EGMENTS, R AYS, P ARALLEL L INES AND P LANES Chapter 1 Section 4.
SEGMENTS, RAYS, PARALLEL LINES AND PLANESChapter 1 Section 4
SEGMENTS A segment is an infinite collection of points with
a definite beginning and end (called endpoints)• Segments are named using the endpoints of each
segments with a bar (or segment) over them• Only 2 points are used to name segments
A
B
AB or BA
NAME ALL SEGMENTS
R
TC
Q
B
P
M
N
RCRTCT
CRTRTC
QP
QB
PB
MN
NM
PQ
BQ
BP
RAYS
A ray is a collection of points with one endpoint that extends in one direction without end• A ray is named using 2 points• To name a ray we start at the endpoint and go towards
the arrow• The symbol for ray is an arrow over both points,
pointing to the right
LD
The name for this ray would be LD
))))))))))))))
OPPOSITE RAYS
Rays that start at the same endpoint and go in exact opposite directions• Opposite rays always form a line
A
B
D
and are opposite rays
AB))))))))))))))
AD))))))))))))))
together they form AB.))))))))))))) )
PARALLEL LINES
Parallel lines are lines in the same plane that do not intersect Lines that are an equal distance apart at every
point Symbol for parallel:
A
B
C
D
AB CD
read “segment AB is parallel to segment CD”
EXAMPLES OF PARALLEL LINES
Parallel lines in the classroom Rails holding up
ceiling tiles Sides of the board Top/bottom of the
board Grout lines in the
cinderblocks Frame of the door
Parallel lines in 3 dimensions Using rectangular
prism Using tissue box Using classroom
Diagonals!
SKEW LINES
Skew lines are lines that are not in the same plane and do not intersect
A B
CD
EF
GH
Examples of skew lines:
and AB DH
and AB CG and EF DH and EF CG and BF DC
and BF HG
SKEW LINES
Skew lines using rectangular prism
Skew lines using tissue box
Skew lines using classroom
PARALLEL PLANES
Parallel planes are planes that do not intersect In a box: top/bottom; left/right; front/back
A B
CD
EF
GH
ABCD EFGHAEHD BFGCAEFB DHGC
EXAMPLES OF PARALLEL PLANES
Using rectangular prism
Using tissue box
Using classroom
Classwork: Selected problems from:p. 25 – 26 #1 – 3, 4, 6 – 8, 10 – 12, 14, 16 – 23, 25 – 33
Homework: WS 1.4
