Question

choose all of the statements that correctly define the geometric term. a a plane is a flat, two - dimensional surface that extends infinitely far. b a point is a location that has width, length, and depth. c collinear points are points that lie on the same location. d a line is straight, has no thickness, and extends in both directions infinitely. e the distance between two points is the length of a line segment that connects them.

Explanation:

• A: A plane is indeed a flat, two - dimensional surface extending infinitely, which is a correct definition.
• B: A point has no width, length, or depth; it is a location with zero dimensions, so this is incorrect.
• C: Collinear points lie on the same line, not the same location, so this is incorrect.
• D: A line is straight, has no thickness, and extends infinitely in both directions, which is a correct definition.
• E: The distance between two points is measured by the length of the line segment connecting them, which is a correct definition.

Answer:

A. A plane is a flat, two - dimensional surface that extends infinitely far.
D. A line is straight, has no thickness, and extends in both directions infinitely.
E. The distance between two points is the length of a line segment that connects them.