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## The Lines and Planes

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Title: 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 ______________
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
6
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
7
NAME THE ORTHOGONAL PROJ.CA ON THE PLANE ABGH
E
F
H
G
D
C
A
B
8
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
10
ANGLE BETWEEN A LINE AND A PLANE
11
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
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 ?
13
QUESTION
GAC
HBE
CHG
EGH
HBG
14
ANGLE BETWEEN TWO PLANES
15
• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE BCGF

SOLUTION 1

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
16
• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE BCGF

SOLUTION 2
H
G
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?
D
C
E
F
A
B
17
• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE ABCD

DOWN
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
18
• DETERMINE THE ANGLE BETWEEN
• PLANE ADGF AND PLANE ABCD

DOWN
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
19
NAME THE ORTHOGONAL PROJ.MG ON THE PLANE ELKF
F
G
MG ELMKF
BACK
K
J
M
E
F
M
H
G
L
I