Geometry Worksheets - Free Printable

To solve the problems in the worksheet, let's break them down step by step. I'll provide explanations for each part.

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Part 1:

#### Image 1 (Top Figure)
The figure shows a geometric diagram with points labeled \( A, B, C, D, E \), and lines/rays/line segments connecting them.

#### Questions:
1. Name the points.
- The points in the diagram are: \( A, B, C, D, E \).

2. Name any three rays.
- A ray starts at a point and extends infinitely in one direction. From the diagram:
- Ray \( \overrightarrow{AB} \)
- Ray \( \overrightarrow{BC} \)
- Ray \( \overrightarrow{CD} \)

3. Name any two line segments.
- A line segment has two endpoints. From the diagram:
- Line segment \( \overline{AB} \)
- Line segment \( \overline{BC} \)

4. Name the line in two ways.
- A line extends infinitely in both directions. From the diagram, the line can be named using any two points on it:
- Line \( \overleftrightarrow{AD} \)
- Line \( \overleftrightarrow{BE} \)

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Part 2:

#### Image 2 (Bottom Figure)
The figure shows another geometric diagram with points labeled \( P, Q, R, S, T \), and lines/rays/line segments connecting them.

#### Questions:
1. Name the first ray containing the point \( P \).
- The first ray starting from point \( P \) is \( \overrightarrow{PQ} \).

2. Name the second ray.
- The second ray starting from point \( P \) is \( \overrightarrow{PR} \).

3. Name the endpoint of \( \overrightarrow{PT} \).
- The endpoint of the ray \( \overrightarrow{PT} \) is \( P \).

4. Name all the points that lie on \( \overleftrightarrow{ST} \).
- The points that lie on the line \( \overleftrightarrow{ST} \) are \( S, T, \) and \( Q \) (since \( Q \) is also on the same line).

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Final Answers:

#### Part 1:
1. Points: \( A, B, C, D, E \)
2. Rays: \( \overrightarrow{AB}, \overrightarrow{BC}, \overrightarrow{CD} \)
3. Line segments: \( \overline{AB}, \overline{BC} \)
4. Line: \( \overleftrightarrow{AD}, \overleftrightarrow{BE} \)

#### Part 2:
1. First ray containing \( P \): \( \overrightarrow{PQ} \)
2. Second ray: \( \overrightarrow{PR} \)
3. Endpoint of \( \overrightarrow{PT} \): \( P \)
4. Points on \( \overleftrightarrow{ST} \): \( S, T, Q \)

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Boxed Final Answers:

\[
\boxed{
\begin{array}{l}
\text{Part 1:} \\
1. \text{Points: } A, B, C, D, E \\
2. \text{Rays: } \overrightarrow{AB}, \overrightarrow{BC}, \overrightarrow{CD} \\
3. \text{Line segments: } \overline{AB}, \overline{BC} \\
4. \text{Line: } \overleftrightarrow{AD}, \overleftrightarrow{BE} \\
\\
\text{Part 2:} \\
1. \text{First ray containing } P: \overrightarrow{PQ} \\
2. \text{Second ray: } \overrightarrow{PR} \\
3. \text{Endpoint of } \overrightarrow{PT}: P \\
4. \text{Points on } \overleftrightarrow{ST}: S, T, Q \\
\end{array}
}
\]