Parallel projection and parallelism problems
Answers are for parents and teachers.
1
Segment AB = 36 is projected to A₁B₁ = 27. If AC = 12, find A₁C₁.
9
2
In SABC, K and L are the midpoints of SA and SB and KL = 11. Find AB.
22
3
A pyramid has base area 100. A plane parallel to the base cuts the height at 2/5 from the apex. Find the section area.
16
4
Can a parallel projection of a parallelogram be a square? Justify.
Yes: a parallelogram goes to a parallelogram and a square is a special parallelogram; with a suitable direction we can get a square.
5
In a triangular prism, how is edge AA₁ placed relative to the opposite lateral face BCC₁B₁, and why?
Parallel: AA₁ ∥ BB₁, BB₁ lies in the face and AA₁ does not.