Lines and angles in space
Types of exercises: angles in a cube, relative position of lines in a cube.
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Find the tangent of the angle between the segment CE and the plane of the face EFGH
A regular square prism ABCDEFGH has all its edges 2 cm long, so it is a cube. Its lower base is the square ABCD, and the vertices E, F, G, H lie directly above A, B, C, D.
Are the lines BG and EH perpendicular?
The figure shows the cube ABCDEFGH (ABCD is the lower base, and E, F, G, H lie above A, B, C, D).
Give the measure of the angle between the segment BD and the plane of the face ABFE
A regular square prism ABCDEFGH has all its edges 12 cm long, so it is a cube. Its lower base is the square ABCD, and the vertices E, F, G, H lie directly above A, B, C, D.
Determine the relative position of the lines BG and AC
The figure shows the cube ABCDEFGH (ABCD is the lower base, and E, F, G, H lie above A, B, C, D).
Find the tangent of the angle GHB
A regular square prism ABCDEFGH has all its edges 4 cm long, so it is a cube. Its lower base is the square ABCD, and the vertices E, F, G, H lie directly above A, B, C, D.
Are the lines CH and FH perpendicular?
The figure shows the cube ABCDEFGH (ABCD is the lower base, and E, F, G, H lie above A, B, C, D).
Give the measure of the angle AFC
A regular square prism ABCDEFGH has all its edges 3 cm long, so it is a cube. Its lower base is the square ABCD, and the vertices E, F, G, H lie directly above A, B, C, D.
Are the lines CG and EG perpendicular?
The figure shows the cube ABCDEFGH (ABCD is the lower base, and E, F, G, H lie above A, B, C, D).
Find the tangent of the angle GAH
A regular square prism ABCDEFGH has all its edges 11 cm long, so it is a cube. Its lower base is the square ABCD, and the vertices E, F, G, H lie directly above A, B, C, D.
Determine the relative position of the lines BE and BD
The figure shows the cube ABCDEFGH (ABCD is the lower base, and E, F, G, H lie above A, B, C, D).
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