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To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or abov
e) must be installed.
There are 17 multiple choice questions. Click the letter to answer.
Enter
1. (Hold down the right mouse button and drag to change the view angle.)
ABCDEFGH is a cuboid. Find the projection of DG on the plane ABCD.
A BC
B BD
C BG
D AD
1. Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular from G to the plane ABCD?
Back
1. Correct!
Next
The projection of DG on the plane ABCD is BD. (Click and
right-button drag the figure to change the view angle. )
ABCDEFGH is a cuboid. Find the projection of DG on the
plane ADEF.
B DE
C DF
A FG
D AD
2. (Hold down the right mouse button and drag to change the view angle.)
2. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from G to the plane ADEF?
Back
2. Correct!
Next
The projection of DG on the plane ADEF is DF. (Click and
right-button drag the figure to change the view angle. )
ABCD is a square, VO is the altitude of the pyramid. Find the projection of VB on ABCD.
B BD
C BC
A OB
D AB
3. (Hold down the right mouse button and drag to change the view angle.)
3. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from V to the plane ABCD?
Back
3. Correct!
Next
The projection of VB on the plane ABCD is OB. (Click and
right-button drag the figure to change the view angle. )
B BM
C CM
A AM
D OM
4. (Hold down the right mouse button and drag to change the view angle.)
ABCD is a square, M is the mid-point of BC, and VO is the altitude of the pyramid. Find the projection of VM on the plane ABCD.
4. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from V to the plane ABCD?
Back
4. Correct!
Next
The projection of VM on the plane ABCD is OM. (Click and
right-button drag the figure to change the view angle. )
OABC is a triangular pyramid, AOB = 90 and CO is the altitude. Find the projection of AC on the plane OAB.
B OA
C OB
A AB
D OC
5. (Hold down the right mouse button and drag to change the view angle.)
5. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from C to the plane OAB?
Back
5. Correct!
Next
The projection of AC on the plane OAB is OA. (Click and right-
button drag the figure to change the view angle. )
B PA
C PB
A OP
D OC
6. (Hold down the right mouse button and drag to change the view angle.)
OABC is a triangular pyramid, AOB = 90 and CO is the altitude. P is a point on AB. Find the projection of AC on the plane OAB.
6. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from C to the plane OAB?
Back
6. Correct!
Next
The projection of CP on the plane OAB is OP. (Click and right-
button drag the figure to change the view angle. )
B OA
C OB
A AB
D OC
7. (Hold down the right mouse button and drag to change the view angle.)
OABC is a triangular pyramid, AOB = 90 and CO is the altitude. Find the projection of AC on the plane OBC.
7. Incorrect!
Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from A to the plane OBC?
Back
7. Correct!
Next
The projection of AC on the plane OBC is OC. (Click and right-
button drag the figure to change the view angle. )
ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AE on the plane ABCD.
B AB
C DE
A AD
D CD
8. (Hold down the right mouse button and drag to change the view angle.)
8. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from E to the plane ABCD?
Back
8. Correct!
Next
The projection of AE on the plane ABCD is AD. (Click and
right-button drag the figure to change the view angle. )
B AB
C DE
A AD
D CD
9. (Hold down the right mouse button and drag to change the view angle.)
ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AE on the plane CDEF.
9. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from A to the plane CDEF?
Back
9. Correct!
Next
The projection of AE on the plane CDEF is AC. (Click and
right-button drag the figure to change the view angle. )
B AC
C BF
A AB
D FC
10. (Hold down the right mouse button and drag to change the view angle.)
ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AF on the plane ABCD.
10. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from F to the plane ABCD?
Back
10. Correct!
Next
The projection of AF on the plane ABCD is AC. (Click and
right-button drag the figure to change the view angle. )
B DE
C DF
A EF
D FC
11. (Hold down the right mouse button and drag to change the view angle.)
ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AF on the plane CDEF.
11. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from A to the plane CDEF?
Back
11. Correct!
Next
The projection of AF on the plane CDEF is DF. (Click and
right-button drag the figure to change the view angle. )
B AD
C AE
A EF
D ED
12. (Hold down the right mouse button and drag to change the view angle.)
ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90. Find the projection of AF on the plane ADE.
12. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from F to the plane ADE?
Back
12. Correct!
Next
The projection of AF on the plane ADE is AE. (Click and right-
button drag the figure to change the view angle. )
VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VC on the plane ABCD.
B AC
C CD
A AB
D VD
13. (Hold down the right mouse button and drag to change the view angle.)
13. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from V to the plane ABCD?
Back
13. Correct!
Next
The projection of VC on the plane ABCD is CD. (Click and
right-button drag the figure to change the view angle. )
B BC
C BD
A AB
D VD
14. (Hold down the right mouse button and drag to change the view angle.)
VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane ABCD.
14. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from V to the plane ABCD?
Back
14. Correct!
Next
The projection of VB on the plane ABCD is BD. (Click and
right-button drag the figure to change the view angle. )
B VB
C VD
A VA
D CD
15. (Hold down the right mouse button and drag to change the view angle.)
VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VC on the plane VAD.
15. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from C to the plane VAD?
Back
15. Correct!
Next
The projection of VC on the plane VAD is VD. (Click and right-
button drag the figure to change the view angle. )
B VC
C VD
A VA
D BD
16. (Hold down the right mouse button and drag to change the view angle.)
VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane VAD.
16. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from B to the plane VAD?
Back
16. Correct!
Next
The projection of VB on the plane VAD is VA. (Click and right-
button drag the figure to change the view angle. )
B VC
C VD
A VA
D CD
17. (Hold down the right mouse button and drag to change the view angle.)
VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane VCD.
17. Incorrect!Hint: Click and right-button drag the figure to change the
view angle. What is the foot of perpendicular from B to the plane VCD?
Back
17. Correct!
EndRestart
The projection of VB on the plane VCD is VC. (Click and right-
button drag the figure to change the view angle. )