Question

which figures can be precisely defined by using only undefined terms? select three options.
□ angle
□ arc
□ circle
□ line segment
□ parallel lines

Explanation:

Undefined terms in geometry are point, line, and plane.

1. Angle: Defined as two rays (parts of lines) sharing an endpoint (a point), using only undefined terms.
2. Circle: Defined as the set of all points (undefined term) equidistant from a fixed point, using only undefined terms.
3. Line segment: Defined as a part of a line (undefined term) between two points (undefined term), using only undefined terms.

An arc requires a circle (a defined term) to be defined, and parallel lines require the definition of "no intersection" which relies on more than just the core undefined terms.

Answer:

• angle
• circle
• line segment