Enter

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. )