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1. Tell us how to find the length of the segment by subtracting the coordinate and taking the absolute value.

2. A statement which is taken to be true without proof.

3. The point where two objects meet or cross.

4. If three points [tex]\(A\)[/tex], [tex]\(B\)[/tex], and [tex]\(C\)[/tex] are collinear, and [tex]\(B\)[/tex] is between [tex]\(A\)[/tex] and [tex]\(C\)[/tex], then [tex]\( AB + BC = AC \)[/tex].

5. A piece of a line that connects two points. It has definite end points.

Sagot :

GinnyAnswer
Sure, of course! Let’s go through each part of the question step-by-step:

### 1. Finding the Length of the Segment
To find the length of the segment, you subtract the coordinates of the two points and take the absolute value.

### 2. Statement Taken to be True Without Proof
A statement which is taken to be true without proof is called an axiom.

### 3. Point where Two Objects Meet or Cross
The point where two objects (such as lines) meet or cross is called the vertex.

### 4. Collinear Points Statement
If three points [tex]\( A, B \)[/tex], and [tex]\( C \)[/tex] are collinear, and [tex]\( B \)[/tex] is between [tex]\( A \)[/tex] and [tex]\( C \)[/tex], then the relationship between the segments is expressed by the equation
[tex]\[ AB + BC = AC \][/tex]

### 5. Line Segment Description
A piece of a line that connects two points and has definite end points is called a line segment.

Thus, putting together the details:

- To find the length of the segment by subtracting the coordinate and taking the absolute value.
- A statement which is taken to be true without proof is an axiom.
- The point where two objects meet or cross is the vertex.
- For collinear points [tex]\( A, B \)[/tex], and [tex]\( C \)[/tex] with [tex]\( B \)[/tex] between [tex]\( A \)[/tex] and [tex]\( C \)[/tex]: [tex]\( AB + BC = AC \)[/tex].
- A piece of a line that connects two points and has definite end points is a line segment.
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