Parallel planes, projection and perpendiculars
Test two planes for parallelism, compare segments between parallel planes, find the length of a parallel projection and the distance from a point to a plane.
- Palestine: grade 11
- Ukraine: grade 10
- Russia: grade 10
Guide
For Ukrainian Grade 10 topics: parallel planes, parallel projection, and a line perpendicular to a plane. Test: if two intersecting lines of one plane are parallel to two lines of another, the planes are parallel.
Segments of parallel lines between parallel planes are equal. The parallel projection of a segment parallel to the plane of projection is as long as the segment; a segment along the projecting direction becomes a point.
A line a is perpendicular to a plane α (a ⊥ α) if it is perpendicular to two intersecting lines of α. The distance from a point to a plane is the length of the perpendicular from the point.
The planes are shown by the edges in them. Turn the cuboid to see the hidden edges.