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Question

Which statements are true regarding undefinable terms in geometry? Select two options. A point in the form (x,y) has two dimensions. A plane has a definite beginning and end. A line has one dimension, length. A point consists of an infinite set of lines. A plane consists of an infinite set of lines.

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Solution By Steps

Step 1: Understanding Undefinable Terms in Geometry

Undefinable terms in geometry are basic concepts that are not defined by using other terms. They are understood intuitively and serve as the building blocks for defining other terms.

Step 2: Analyzing Each Statement

A point in the form (x,y) has two dimensions: This is true as it represents a location in two-dimensional space.

A plane has a definite beginning and end: This is false as a plane extends infinitely in two dimensions.

A line has one dimension, length: This is true as a line extends infinitely in one dimension.

A point consists of an infinite set of lines: This is false as a point has no dimension and does not consist of lines.

A plane consists of an infinite set of lines: This is true as a plane can be thought of as containing infinitely many lines within its two-dimensional extent.

Final Answer

The true statements regarding undefinable terms in geometry are:

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

A line has one dimension, length.

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