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Skew lines and spatial reasoning
Skew lines, common perpendiculars, angles and the three-perpendiculars theorem.
Questions: 6Estimated time: 25 minutes
Time left: 00:00:00
Best results on this test
Top 10 registered students. Only each student’s best result in the period counts.
Sample questions
- The vertices of rectangular cuboid _______________₁___₁___₁___₁ are shown. Which listed line is skew to line ______? ___
- Rectangular cuboid _______________₁___₁___₁___₁ has edges ______ = ___, ______ = ___ and space diagonal ______₁ = ___. Find the distance between skew lines ______ and ___₁___₁. The diagram is schematic. ___
- Rectangular cuboid _______________₁___₁___₁___₁ has edges ______ = ___, ______ = ___, ______₁ = ___. Find the cosine of the acute angle between skew lines ______ and ___₁___₁. The diagram is schematic. ___
- ____________ is a rectangle with ______ = ___ and ______ = ___. Point S is above its plane, S___ ⟂ (____________), and S___ = ___. Find the distance from S to line ______.
- The vertices of rectangular cuboid _______________₁___₁___₁___₁ are shown. Which segment is the common perpendicular of lines ______ and ___₁___₁? Its endpoints must lie on those lines. ___
Skew lines and spatial reasoning
Six dynamic advanced-course tasks on line positions, distances, angles and applying the three-perpendiculars theorem.
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