Question

which statements are true regarding undefinable terms in geometry? select two options. a points location on the coordinate plane is indicated by an ordered pair, (x, y). a point has one dimension, length. a line has length and width. a distance along a line must have no beginning or end. a plane consists of an infinite set of points.

Explanation:

• A point in geometry is represented by an ordered pair \((x,y)\) on the coordinate plane. This is a fundamental concept in coordinate geometry.
• A plane is a two - dimensional flat surface that consists of an infinite number of points.

Now let's analyze each option:

• Option 1: A point's location on the coordinate plane is indicated by an ordered pair \((x,y)\). This is a correct statement as per the definition of a point in coordinate geometry.
• Option 2: A point has no dimensions (length, width, or height). It is a zero - dimensional object. So, this statement is false.
• Option 3: A line has only one dimension (length). It has no width. So, this statement is false.
• Option 4: A distance along a line (a line segment) has a beginning and an end. A line (not a line segment) has no beginning or end. So, this statement is false.
• Option 5: A plane is a two - dimensional flat surface and it is made up of an infinite set of points. This is a correct statement.

Answer:

A. A point's location on the coordinate plane is indicated by an ordered pair, \((x,y)\).
E. A plane consists of an infinite set of points.