Angles Rays and Segments Worksheet - Free Printable

Let’s go step by step to solve this worksheet.

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Part 1: Label the line, ray, and segment.

We need to look at each drawing and decide what it is:

- Figure 1: Has two endpoints (dots on both ends). That means it’s a line segment — it stops at both ends.

- Figure 2: Has arrows on both ends. That means it goes on forever in both directions → that’s a line.

- Figure 3: Has one endpoint (dot) and one arrow. That means it starts at a point and goes on forever in one direction → that’s a ray.

So:
1. Line Segment
2. Line
3. Ray

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Part 2: Draw the rays, segments, and lines below.

We are given names with symbols above them. Let’s decode:

- BE with an arrow pointing left over BE → This means it’s a ray starting at E and going through B (arrow points left, so direction is from E to B and beyond). So draw a dot at E, then a line going left through B, with an arrowhead on the left end.

Wait — actually, standard notation: if it says “←BE”, that usually means the ray starts at B and goes through E? No — let’s think carefully.

Actually, in geometry notation:

- If you see →AB, it means ray starting at A, going through B.
- If you see ←BA, it means ray starting at B, going through A.

But here it’s written as:

- First box: ←BE → This likely means the ray starts at E and goes toward B and beyond (since arrow is pointing left, and letters are BE — so order matters?).

Actually, common convention: The first letter is the endpoint, the second is a point on the ray. But the arrow direction tells us which way it goes.

Looking again:

In many textbooks:

- Ray BE with arrow over it pointing left → means the ray starts at B and goes left through E? Or starts at E?

This can be confusing. Let’s use this rule:

> The arrow shows the direction the ray goes. The first letter is usually the endpoint.

But in the symbol “←BE”, the arrow is over the whole thing, pointing left. So probably, the ray starts at B and goes left through E? But E is after B in the name...

Actually, better approach: Look at how it’s drawn in typical worksheets.

Commonly:

- If it says “←BE”, it means the ray has endpoint at E, and goes through B (because the arrow is pointing toward B’s side?).

Wait — let’s flip it. Think of the arrow as showing the infinite direction.

Standard: In notation like \(\overrightarrow{AB}\), A is endpoint, B is another point, arrow goes from A to B.

Here, they’re using text with arrows above.

For “←BE” — the arrow is pointing left, and letters are B then E. So if we imagine writing BE horizontally, and putting a left arrow over it, that suggests the ray goes leftward, starting from... where?

Actually, I think the convention used here is:

- The position of the arrow relative to the letters indicates direction.

But to avoid confusion, let’s use this practical method:

In most elementary worksheets:

- If you see “←BE”, it means: draw a ray that starts at B and goes to the left through E? But that doesn’t make sense because E would be to the right of B if named BE.

Perhaps it’s simpler: ignore the letter order for now and focus on the arrow.

Actually, looking at the third one: “AT” with dots on both ends — that’s clearly a segment.

Second one: “NO” with double-headed arrow — that’s a line.

First one: “BE” with single arrow pointing left — that’s a ray going left.

So for drawing:

- For “←BE”: Draw a ray that goes to the left. Put a dot at the right end (endpoint), and an arrowhead on the left. Label the endpoint as B? Or E?

The label is “BE”, so likely the endpoint is B, and it goes through E? But if arrow is left, and it’s BE, maybe E is to the left of B?

I think the safest assumption for students is:

- The first letter is the endpoint.
- The arrow shows the direction.

So:

- ←BE : endpoint is B, ray goes left (so E is somewhere to the left of B on the ray)
- ↔NO : line through N and O, extending both ways
- •AT• : segment from A to T, with endpoints at A and T

So when drawing:

Box 1 (←BE): Draw a horizontal line. Put a dot on the right end, label it B. Then go left, put a point labeled E somewhere on the line, and put an arrowhead on the far left.

But actually, since it's a ray, you only need to show the endpoint and the direction. You don't have to place E exactly — just indicate the ray starts at B and goes left, passing through E.

Similarly:

Box 2 (↔NO): Draw a line with arrows on both ends. Mark two points on it, label them N and O.

Box 3 (•AT•): Draw a straight line between two points, label left point A, right point T, and put dots at both ends.

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Part 3: Draw line segments and lines.

Now we have four boxes:

1. Draw parallel lines AB and GE.

- Parallel lines never meet, same direction.
- Draw two separate lines, not touching, both going same direction (e.g., both horizontal or both slanted).
- On first line, mark points A and B.
- On second line, mark points G and E.
- Make sure they’re parallel — use ruler to keep same slope.

2. Draw parallel line segments PT and HI.

- Same idea, but these are segments (have endpoints).
- Draw two short lines, not connected, same direction.
- Label first segment: P to T.
- Label second segment: H to I.
- Ensure they’re parallel.

3. Draw perpendicular lines CJ and ST.

- Perpendicular means they cross at 90 degrees (like a plus sign +).
- Draw one line, say horizontal, label points C and J on it.
- Draw another line crossing it vertically, label points S and T on it.
- They should intersect, forming right angles.

4. Draw perpendicular line segments QP and FD.

- Again, perpendicular, but these are segments (so they may or may not touch, but if they do, they form 90 degrees).
- Best to draw them intersecting at 90 degrees.
- Draw segment QP (say, horizontal).
- Draw segment FD crossing it vertically.
- Label endpoints accordingly.

Note: For perpendicular segments, they don’t have to intersect — but in elementary level, often they are drawn intersecting to show the right angle clearly.

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Now, compiling final answers for labeling part (since drawing parts require actual drawings, but for text-based answer, we’ll describe what to draw or state labels).

But the user asked to solve the problem — and the first part is labeling, which we can answer directly.

For the drawing parts, since we can’t draw here, we’ll describe what to draw in simple terms.

But looking back at the instructions: “Solve the problem accurately.” And the response format requires a Final Answer section.

Probably, the main solvable part is Part 1 (labeling), and for Parts 2 and 3, we can give instructions.

But let’s check the original request: it’s a worksheet with multiple parts. We need to provide answers for all.

Since this is text-based, for drawing tasks, we’ll describe what to draw.

But perhaps for Final Answer, we focus on the labeling part, as it’s the only one with blank lines to fill.

Looking at the image description: Part 1 has blanks 1,2,3 to fill.

Parts 2 and 3 are drawing areas.

So likely, the expected "answer" for submission is the labels for 1,2,3.

Moreover, in the context, the user might just want the labeling solved.

To be safe, I'll provide full solution, but in Final Answer, put the labels for Part 1, and for others, since they're drawings, maybe omit or describe briefly.

But the instruction says: "Provide only the final correct answer" in Final Answer section.

And for math problems, verify before final answer.

Given that, I think the primary answer needed is for Part 1.

Let me confirm with logic:

In Part 1:

- Figure 1: two endpoints → segment
- Figure 2: two arrows → line
- Figure 3: one endpoint, one arrow → ray

Yes.

So Final Answer for labeling:

1. Line Segment
2. Line
3. Ray

For the drawing parts, since we can't draw, and the user didn't specify to describe drawings, perhaps just answer the labeling.

But to be thorough, I'll include brief descriptions in reasoning, but Final Answer will be the labels.

Alternatively, the entire worksheet is the task, so we need to address all.

But in text, for drawings, we can say:

For Part 2:

- Box 1: Draw a ray starting at B going left through E. (Endpoint at B, arrow left, label E on the ray)
- Box 2: Draw a line through N and O with arrows on both ends.
- Box 3: Draw a segment from A to T with dots at both ends.

For Part 3:

- Box 1: Draw two parallel lines; label one line with points A,B and the other with G,E.
- Box 2: Draw two parallel segments; label one P-T, other H-I.
- Box 3: Draw two perpendicular lines intersecting; label one C-J, other S-T.
- Box 4: Draw two perpendicular segments intersecting at 90 degrees; label one Q-P, other F-D.

But for Final Answer, since it's "only the final correct answer", and the labeling is the only part with specific answers, I'll put that.

Perhaps the user expects the labels for 1,2,3.

I think that's it.

Final decision: Provide the labels for Part 1 as Final Answer, as they are the direct answers to fill in the blanks.

For the rest, since they are drawing tasks, and we're in text, we've explained in reasoning.

So:

Final Answer:
1. Line Segment
2. Line
3. Ray

But let's write it properly.