Question

Tell if each geometric construction is possible or impossible.

Bisecting an angle- impossible or possible?


Bisecting a segment with a perpendicular segment- impossible or possible?


Doubling a cube - Impossible or possible?


Doubling a square- i or p?


Drawing an equilateral triangle- i or p?


Drawing a regular hexagon- i or p?


Tripling a square- i or p?


Trisecting a right angle- i or p?


Trisecting a segment- i or p?


Trisecting any given angle- i or p?

Answer 1

Answer and Step-by-step explanation:

By geometric construction, Bisecting an angle is possible.

By geometric construction, Bisecting a segment with a perpendicular segment is possible.

By geometric construction, Doubling a cube is not possible, as Cube is already a 3 D figure and after doubling it becomes 6 -D figure which is not possible to draw using geometric construction.

By geometric construction, Doubling a square is possible.

By geometric construction, Drawing an equilateral triangle is possible.

By geometric construction, Drawing a regular hexagon is possible.

By geometric construction, Drawing a regular hexagon is possible.

By geometric construction, Trisecting a right angle is possible.

By geometric construction, Trisecting any given angle is possible.

By geometric construction, Tripling a square is not possible because it becomes 8-D.

Answer 2

1. Bisecting an angle - possible.
2. Bisecting a segment with a perpendicular segment - possible.
3. Doubling a cube - impossible.
4. Doubling a square - possible.
5. Drawing an equilateral triangle - possible.
6. Drawing a regular hexagon - possible.
7. Tripling a square - possible.
8. Trisecting a right angle - possible.
9. Trisecting a segment - possible.
10. Trisecting any given angle - impossible.