Point, Line, Ray and Segment Worksheet | Grade1to6 - Free Printable

Let's solve each question based on the given figure and definitions provided in the worksheet.

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Given Figure:

There are several lines, rays, and points shown:

- A horizontal line with points P, Q, and R (with arrows at both ends → it’s a line).
- A diagonal line from S to T passing through Q.
- A ray starting at Q going toward U (arrow only on one side).
- Points labeled: P, Q, R, S, T, U

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i. Write the name of any two rays.

A ray has one endpoint and extends infinitely in one direction.

From the diagram:
- The ray starting at Q and going through U is QU (since arrow is at U end).
- Another ray could be QP — but wait! From point Q, if we go left toward P, that would be QP, but P is on a line extending both ways.

But let's analyze carefully:

- The line PQR is a straight line extending infinitely in both directions (arrows at P and R), so PQ and QR are parts of a line, not rays unless specified.

However, the ray from Q to U is clearly marked as a ray (only one arrow at U). So:
- Ray QU is one ray.

Now, look at QS or QT? The line ST passes through Q, but does it have an arrow?

Actually, ST is drawn as a line segment between S and T, passing through Q, but there are no arrows on S or T, so it's likely just a line segment ST.

So, the only ray shown is QU.

Wait — what about QP or QR? They are part of a line, but since the line extends infinitely, QP and QR can also be considered rays if we take Q as the endpoint.

But in standard notation, QP means a ray starting at Q and going through P, which is correct because the line goes to infinity beyond P.

So:
- Ray QP (from Q to P and beyond)
- Ray QR (from Q to R and beyond)
- Ray QU (from Q to U and beyond)

✔ So, any two rays could be:
- QP
- QU

> ✔ Answer i: QP and QU

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ii. Write the name of all points.

Points are labeled with capital letters.

From the diagram:
- P, Q, R, S, T, U

✔ Answer ii: P, Q, R, S, T, U

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iii. Write any two line segment names.

A line segment has two endpoints.

Examples from the diagram:
- PQ (between P and Q)
- QR (between Q and R)
- QS (between Q and S)
- QT (between Q and T)
- SU? No, not connected directly.

But ST is a line passing through Q, so SQ, QT, ST are segments.

So possible line segments:
- PQ
- QR
- QS
- QT
- SU? No — not connected directly.

Wait: S to T passes through Q, so SQ, QT, and ST are valid segments.

So any two line segments:
- PQ
- QR

Or
- SQ
- QT

✔ Answer iii: PQ and QR (or any two such segments)

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iv. What is called QU?

Look at QU: It starts at Q, goes through U, and has an arrow at U — meaning it extends infinitely in that direction.

This matches the definition of a ray.

✔ Answer iv: QU is a ray

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v. What is called Q?

Point Q is where multiple lines meet:
- Line PQR passes through it
- Line ST passes through it
- Ray QU starts from it

So Q is the point of intersection of multiple lines and rays.

But more specifically, Q is a point where lines intersect.

Since it's the common point for multiple lines, it's called the vertex when angles are formed.

But here, the question asks: “What is called Q?”

It's simply a point.

But in context, since multiple lines pass through it, it's an intersection point.

But the most accurate answer is: Q is a point.

But perhaps they want to know its role.

Looking at the figure:
- Q is where lines PQR, ST, and QU meet.

So Q is a point of intersection.

But since the question says "What is called Q?", the expected answer might be:

✔ Answer v: Q is a point

Or more precisely: Q is the point of intersection

But in basic geometry terms, Q is a point.

Since the worksheet is for Grade 6, the simplest answer is:

✔ Answer v: Q is a point

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✔ Final Answers:

i. Two rays: QP and QU
ii. All points: P, Q, R, S, T, U
iii. Two line segments: PQ and QR
iv. QU is a ray
v. Q is a point

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