Question

Which statements are correct? Check all that apply.

A compass is used to make circles and arcs in geometric constructions.
A rough sketch by hand is considered a geometric construction.
Geometric constructions are created with a compass and straightedge.
Protractors are used in geometric constructions to measure degree measures.
Rulers are used in geometric constructions to measure segment lengths.

Answer 1

Correct: A and C.

Explanation:
- A is true — a compass is used to draw circles and arcs.
- C is true — classical geometric constructions are done with a compass and straightedge.
- B is false — a rough hand sketch is not a formal geometric construction.
- D is false in the context of compass-and-straightedge constructions — protractors (which measure angles) are not allowed.
- E is false for the same reason — the allowed straightedge is used to draw lines, not to measure lengths.