Which statements are true regarding undefinable terms in geometry? Select two options.

Which statements are true regarding undefinable terms in geometry? Select two options.

1: A point in the form (x, y) has two dimensions.

2: A plane has a definite beginning and end.

3: A line has one dimension, length.

4: A point consists of an infinite set of lines.

5: A plane consists of an infinite set of lines.

Answer: The correct answers are 3 and 5.

In geometry, there are terms which cannot be explained by other terms, these are known as the primitive terms of the branch. It is noteworthy that their foundational status is used to ground other geometry concepts. Out of the statements listed, number 3 and number 5 are true with reference to the undefinable terms in geometry.

The statement that has been proven correct now is, “A line has one dimension, length.” A line is without doubt a two- dimensional object or figure that is long and thin like a tube and extends indefinitely in both directions and at the same time has no depth. It is defined solely by its one measure: its length and that length is infinite. This is a fairly important idea in geometry since it serves as the foundation of more advanced objects. For instance, when drawing a line segment AB on a piece of paper it means we are drawing a part of an infinite line.

The last statement, “A plane consists of an infinite set of lines,” similarly can be said to be true. A plane, known as a flat surface is a geometric figure that has an extent in two dimensions and goes on indefinitely. It can thus be said to be formed by an endless number of straight lines in all conceivable orientations. It is the building block in comprehending the rest of the geometrical shapes and their attributes. For instance, if the triangle ABC lies in a plane, then we can produce the sides of the triangle to three infinite lines and only these three lines are not feasible but the whole plane is consisting of infinite lines.

I have also had to deal with some of the most basic yet ambiguous terms in geometry – point, line, and plane – as while using them we do not attempt to define them but use them to build other definitions and theorems without the danger of starting a cycle of definitions.