Question
Which statements are true regarding undefinable terms in geometry? Select two options. D.Apoint's kection on the coordinate plane is indicated by an ordered pair, (x,y) A point has one dimenoion length. A line has length and with A distance along a line must have no beginning or end A plane consists of an infinite set of points.
Solution
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Cassidy
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Answer
### D. A point's location on the coordinate plane is indicated by an ordered pair,
.### E. A plane consists of an infinite set of points.
Explanation
## Step 1: Understanding Undefinable Terms### Undefinable terms in geometry are basic concepts that are intuitively understood but lack a formal definition. They form the foundation upon which other geometric concepts are built. These typically include points, lines, and planes.## Step 2: Analyzing Option D### Option D states that a point's location on the coordinate plane is indicated by an ordered pair
. This is a correct statement about how we represent points, but it doesn't define what a point *is*. Points exist regardless of coordinate systems.## Step 3: Analyzing Option A### Option A states that a point has one dimension: length. This is incorrect. A point has no dimension; it represents a location in space.## Step 4: Analyzing Option B### Option B states that a line has length and width. This is incorrect. A line has only one dimension: length. It extends infinitely in both directions but has no width.## Step 5: Analyzing Option C### Option C states that a distance along a line must have no beginning or end. This is incorrect. A distance is a measurable segment of a line and therefore *must* have a beginning and an end.## Step 6: Analyzing Option E### Option E states that a plane consists of an infinite set of points. This is a true statement. A plane is a two-dimensional flat surface that extends infinitely and is made up of an infinite number of points.