The Lines and Planes

1
The Lines and Planes

INCLINED PLANE
INCLINED LINE
VERTICAL LINE
VERTICAL PLANE
HORIZONTAL LINE
HORIZONTAL PLANE
2
WORKSHEET 1
Name ________________________________ Class ______________ Date ______________
Instructions Answer the following questions.
2. Name a) the horizontal lines b)
the verticle lines c) the inclined lines
d) the horizontal planes e) the verticle
planes f) the inclined planes in the solid
object PQRSTU.
1.Solid object ABCDEF above consists of three
types of lines and planes. Name all the lines
and planes below. Horizontal Lines i. EF
ii. _______ iii. _______ iv. _______ v.
________ Vertical Lines i. _______ ii.
_______ Inclined Lines i. ________ ii.
________ Horizontal Planes i. ABCD
Verticle Planes i. ______ ii. ______ iii.
______ Inclined Plane i.______
3
NORMAL AND ORTHOGONAL PROJECTION
NORMAL
ORTHOGONAL PROJECTION
PLANE
4
NAME THE ORTHOGONAL PROJ. AC ON THE PLANE ABED
F
AC ABED
down
(find the point down C)
C
B IS NORMAL
C
E
D
A B ORTHOGONAL
A
B
5
NAME THE ORTHOGONAL PROJ.AF ON THE PLANE ABED
F
AF ABED
down
(find the point down F)
C
E IS NORMAL
F
E
D
A E ORTHOGONAL
A
B
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NAME THE ORTHOGONAL PROJ.CD ON THE PLANE BCFE
F
CD BCFE
back
(find the point at the back of D)
C
D
E IS NORMAL
D
E
C E ORTHOGONAL
A
B
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NAME THE ORTHOGONAL PROJ.CA ON THE PLANE ABGH
E
F
H
G
D
C
A
B
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NAME THE ORTHOGONAL PROJ. FB ON THE PLANE ABGH
E
F
H
G
D
C
A
B
9
NAME THE ORTHOGONAL PROJ.CH ON THE PLANE ABGH
E
F
H
G
D
C
A
B
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ANGLE BETWEEN A LINE AND A PLANE
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DETERMINE THE ANGLE LINE BD AND PLANE DCGH
E

F
B D D C G H DOWN

H
B
D
C
G
A
STEP 2 STEP 1 STEP 3 STEP 1 FIND THE
SAME ALPHABET STEP 3 FIND THE POINT
DOWN B ?
B
C
D
ANSWER lt BDC
12
DETERMINE THE ANGLE LINE AG AND PLANE ADHE

A G A D H E BACK

H
G
A
H
STEP 2 STEP 1 STEP 3 STEP 1 FIND THE
SAME ALPHABET STEP 3 FIND THE POINT
AT THE BACK OF G ?
ANSWER lt GAH
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QUESTION
GAC
HBE
CHG
EGH
HBG
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ANGLE BETWEEN TWO PLANES
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• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE BCGF
  

SOLUTION 1
ADGF BCGF

INFRONT A GF
B (point infront A) STEP 2 STEP 1
STEP 3
STEP 4 F STEP 1 FIND THE SAME
ALPHABET STEP 2 CHOOSE ANY ALPHABET
LEFT. STEP 3 FIND THE POINT INFRONT A?
B OR C? ANSWER B STEP 4 G OR
F.. . NEAREST WITH POINT B? ANSWER F
H
G
D
C
E
F
A
B
ANSWER AFB
16

• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE BCGF
  

SOLUTION 2
H
G
ADGF BCGF
INFRONT
D GF
C STEP 2 STEP 1 STEP 3
STEP 4 G STEP
1 FIND THE SAME ALPHABET STEP 2 CHOOSE
ANY ALPHABET LEFT. STEP 3 FIND THE POINT
INFRONT D? B OR C? ANSWER C
STEP 4 G OR F NEAREST WITH POINT C?
ANSWER G
D
C
E
F
A
B
ANSWER DGC
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• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE ABCD
  

ADGF ABCD
DOWN
G AD C STEP
2 STEP 1 STEP 3
STEP 4 D STEP 1
FIND THE SAME ALPHABET STEP 2 CHOOSE ANY
ALPHABET LEFT. STEP 3 FIND THE POINT DOWN G?
B OR C? ANSWER C STEP 4
A OR D NEAREST WITH POINT C? ANSWER D
H
G
D
C
E
F
A
B
ANSWER GDC
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• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE ABCD
  

ADGF ABCD
DOWN
F AD B STEP
2 STEP 1 STEP 3
STEP 4 A STEP 1
FIND THE SAME ALPHABET STEP 2 CHOOSE ANY
ALPHABET LEFT. STEP 3 FIND THE POINT DOWN F?
B OR C? ANSWER B STEP 4
A OR D NEAREST WITH POINT B? ANSWER A
H
G
D
C
E
F
A
B
ANSWER FAB
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NAME THE ORTHOGONAL PROJ.MG ON THE PLANE ELKF
F
G
MG ELMKF
BACK
K
J
M
E
F
M
H
G
L
I
ANSWER lt GMF
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• PREPARED BY

SITI ZARINA BT SYED NORDIN