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To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or abov

e) must be installed.

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There are 17 multiple choice questions. Click the letter to answer.

ABCDEFGH is a cuboid. Find the angle between DG and the plane ABCD.

A ADG

B BDG

C BGD

D CDG

1. (Hold down the right mouse button and drag to change the view angle.)

Hint: Click and right-button drag the figure to change the view angle. Find the angle between DG and the plane ABCD.

Back

1. Incorrect!

Next

The angle between DG and the plane ABCD is BDG.

(Hint: Click and right-button drag the figure to change the view angle.)

1. Correct!

ABCDEFGH is a cuboid. Find the angle between DG and the plane ADEF.

B EDG

C FDG

A BDG

D ADG

2. (Hold down the right mouse button and drag to change the view angle.)

Hint: Click and right-button drag the figure to change the view angle.

Find the angle between DG and the plane ADEF.

Back

2. Incorrect!

Next

The angle between DG and the plane ADEF is FDG .

(Hint: Click and right-button drag the figure to change the view angle.)

2. Correct!

ABCD is a square, VO is the altitude of the pyramid. Find the

angle between VB and the plane ABCD.

B OVB

C CBV

A OBV

D ABV

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. Find the angle between VB and the plane ABCD.

Back

3. Correct!

Next

The angle between VB and the plane ABCD is OBV .

(Hint: Click and right-button drag the figure to change the view angle.)

ABCD is a square , M is the mid-point of BC , VO is the altitude of

the pyramid. Find the angle between VM and the plane ABCD.

B BMV

C DMV

A AMV

D OMV

4. (Hold down the right mouse button and drag to change the view angle.)

4. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between VM and the plane ABCD.

Back

4. Correct!

Next

The angle between VM and the plane ABCD is OMV .(Hint: Click and right-button drag the figure to change the view angle.)

OABC is a triangular pyramid, AOB = 90 ， CO is the altitude. Find the angle between AC and the plane OAB.

B OAC

C ABC

A OCA

D BAC

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. Find the angle between AC and the plane OAB.

Back

5. Correct！

Next

The angle between AC and the plane OAB is OAC .

(Hint: Click and right-button drag the figure to change the view angle.)

OABC is a triangular pyramid, AOB = 90 ， CO is the altitude, P is a point on AB. Find the angle between CP and the plane OAB .

B OCP

C OAC

A OPC

D OBC

6. (Hold down the right mouse button and drag to change the view angle.)

6. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between CP and the plane OAB.

Back

6. Correct！

Next

The angle between CP and the plane OAB is OPC .

(Hint: Click and right-button drag the figure to change the view angle.)

OABC is a triangular pyramid, AOB = 90 ， CO is the altitude. Find the angle between CA and the plane OBC.

B OBA

C OAC

A BCA

D OCA

7. (Hold down the right mouse button and drag to change the view angle.)

7. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between CA and the plane OBC.

Back

7. Correct ！

Next

The angle between CA and the plane OBC is OCA .(Hint: Click and right-button drag the figure to change the view angle.)

ABCDEF is a triangular prism, ABCD and CDEF are rectangles,

BCF = 90 . Find the angle between AE and the plane ABCD.

B AED

C BAE

A DAE

D CAE

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. Find the angle between AE and the plane ABCD.

Back

8. Correct！

Next

The angle between AE and the plane ABCD is DAE.(Hint: Click and right-button drag the figure to change the view angle.)

ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90 . Find the angle between AE and the plane CDEF.

B DAE

C AED

A AEB

D ADE

9. (Hold down the right mouse button and drag to change the view angle.)

9. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between AE and the plane CDEF.

Back

9. Correct！

Next

The angle between AE and the plane CDEF is AED.

(Hint: Click and right-button drag the figure to change the view angle.)

ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90 . Find the angle between AF and the plane ABCD.

B CAF

C BAF

A CFA

D DAF

10. (Hold down the right mouse button and drag to change the view angle.)

10. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between AF and the plane ABCD.

Back

10. Correct！

Next

The angle between AF and the plane ABCD is CAF .(Hint: Click and right-button drag the figure to change the view angle.)

ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90 . Find the angle between AF and the plane CDEF.

B AFE

C AFC

A AFB

D AFD

11.( Hold down the right mouse button and drag to change the view angle.)

11. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between AF and the plane CDEF.

Back

11. Correct！

Next

The angle between AF and CDEF is AFD .(Hint: Click and right-button drag the figure to change the view angle.)

ABCDEF is a triangular prism, ABCD and CDEF are rectangles,

BCF = 90 . Find the angle between AF and the plane ADE.

B FAD

C FAE

A FAC

D AFE

12. (Hold down the right mouse button and drag to change the view angle.)

12. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between AF and the plane ADE.

Back

12. Correct！

Next

The angle between AF and the plane ADE is FAE .

(Hint: Click and right-button drag the figure to change the view angle.)

VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VC and the plane ABCD.

B VCB

C VCD

A VCA

D CVD

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. Find the angle between VC and the plane ABCD.

Back

13. Correct！

Next

The angle between VC and the plane ABCD is VCD .(Hint: Click and right-button drag the figure to change the view angle.)

B VBC

C VBD

A VAB

D BVD

VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VB and the plane ABCD.

14. (Hold down the right mouse button and drag to change the view angle.)

14. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between VB and the plane ABCD.

Back

14. Correct！

Next

The angle between VB and the plane ABCD is VBD .(Hint: Click and right-button drag the figure to change the view angle.)

B VCB

C VCD

A VCA

D CVD

VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VC and the plane VAD.

15. (Hold down the right mouse button and drag to change the view angle.)

15. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between VC and the plane VAD.

Back

15. Correct！

Next

The angle between VC and the plane VAD is CVD .(Hint: Click and right-button drag the figure to change the view angle.)

B BVD

C ABV

A AVB

D DBV

VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VB and the plane VAD.

16 . (Hold down the right mouse button and drag to change the view angle.)

16. Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between VB and the plane VAD.

Back

16. Correct！

Next

The angle between VB and the plane VAD is AVB .

(Hint: Click and right-button drag the figure to change the view angle.)

B BVC

C BVD

A CBV

D DBV

VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VB and the plane VCD.

17 . (Hold down the right mouse button and drag to change the view angle.)

17. Incorrect！

Hint: Click and right-button drag the figure to change the view angle. Find the angle between VB and the plane VCD.

Back

17. Correct！

End

The angle between VB and the plane VCD is BVC .(Hint: Click and right-button drag the figure to change the view angle.)

Restart