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Enter To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or above) must be installed.

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

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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.)

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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!

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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!

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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.)

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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!

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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!

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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.)

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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.)

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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

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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

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