Question

which statement is the best definition of an angle? a. the distance between two parallel lines b. the distance between two rays on the same plane c. the amount of turn between two rays with a common endpoint d. the amount of turn between two parallel lines on the same plane

Explanation:

• Option A: The distance between two parallel lines defines the distance (like the distance between parallel lines in geometry), not an angle. So A is incorrect.
• Option B: An angle is not about the distance between two rays. Distance is a measure of length, while an angle is about the turn between rays. So B is incorrect.
• Option C: By definition, an angle is formed by two rays (called sides) with a common endpoint (called the vertex), and it measures the amount of turn between these two rays. This matches the standard definition of an angle.
• Option D: Parallel lines never meet, so there is no "turn" between them in the context of an angle. Angles involve rays with a common endpoint, not parallel lines. So D is incorrect.

Answer:

C. the amount of turn between two rays with a common endpoint