Worksheet 0 - Angles and Planes in 3D Figures

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School Name
Mathematics
Worksheet 0
Faces and Angles of Solids
Name:
Class:
(
)
1. The following figures are all cubes. According to the given requirements, write down the names of
the corresponding angles of intersection between lines and then judge whether they are right angles.
(a)
(b)
E
H
Cube
Draw the angle
between
(d)
H
E
G
C
C
C
D
B
A
H
G
F
D
B
A
E
F
D
B
A
G
C
D
(c)
H
F
G
F
E
B
A
GH and HC
EA and AF
FG and GE
AD and DC
Yes/No
Yes/No
Yes/No
Yes/No
Name of the
intersecting
angle
Is it a right
angle?
2. Shade the faces given in the following questions with color and then judge the shapes of the shaded
figures. Given the solids from (a) to (h) are cubes, those from (i) and (j) are regular four-sided
pyramids and those from (k) and (j) are regular tetrahedra.
(a) ABCD
A
E
C
D
G
F
_____
(j) QRT
T
A
G
C
G
F
H
E
___Triangle
(k) XYZV
T
B
D
H
E
_____
(i) PQRS
_____
C
F
H
E
E
B
D
G
F
H
H
(h) CHG
A
C
G
F
_____
B
D
G
H
(g) AFG
A
B
___Triangle
(l) VYZ
Z
S
P
S
R
Q
_____
P
B
C
D
F
E
(f) BDEG
A
A
C
G
_____
(e) FGHE
B
D
H
E
Square
E
C
F
H
(d) FGCD
A
B
D
G
F
(c) ABHE
A
C
D
E
(b) ABGF
B
V
Z
R
Q
___Triangle
X
X
Y
___Triangle
Y
___Triangle
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