Problem Analysis:
The task involves identifying and naming various geometric elements in the given figures. Let's break it down step by step.
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Part 1: Read the figure and name the following
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Figure:
The first part of the problem provides a diagram with points, lines, rays, and line segments labeled. We need to identify and name the required elements based on the diagram.
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(i) Points:
Points are labeled as individual locations in the diagram. From the figure, the points are:
- $ A $
- $ B $
- $ C $
- $ D $
- $ E $
- $ F $
So, the answer is:
$$
\boxed{A, B, C, D, E, F}
$$
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(ii) Lines:
Lines extend infinitely in both directions. In the diagram, there are two lines:
- Line $ AB $
- Line $ EF $
So, the answer is:
$$
\boxed{AB, EF}
$$
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(iii) Rays:
Rays start at a point and extend infinitely in one direction. In the diagram, we can identify the following rays:
- Ray $ BA $ (starting at $ B $ and extending through $ A $)
- Ray $ CB $ (starting at $ C $ and extending through $ B $)
- Ray $ DC $ (starting at $ D $ and extending through $ C $)
- Ray $ ED $ (starting at $ E $ and extending through $ D $)
- Ray $ FE $ (starting at $ F $ and extending through $ E $)
- Ray $ AF $ (starting at $ A $ and extending through $ F $)
So, the answer is:
$$
\boxed{BA, CB, DC, ED, FE, AF}
$$
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(iv) Line segments:
Line segments have two endpoints. In the diagram, we can identify the following line segments:
- Segment $ AB $
- Segment $ BC $
- Segment $ CD $
- Segment $ DE $
- Segment $ EF $
- Segment $ FA $
So, the answer is:
$$
\boxed{AB, BC, CD, DE, EF, FA}
$$
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Part 2: Name the points that are collinear on the line $ XY $
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Figure:
The second part of the problem provides a straight line labeled $ XY $ with several points marked along it. The points are labeled as $ P, Q, R, S, T, U, V, W, X, Y $.
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Collinear Points:
Collinear points are points that lie on the same straight line. From the diagram, all the points $ P, Q, R, S, T, U, V, W, X, Y $ lie on the line $ XY $. Therefore, all these points are collinear.
So, the answer is:
$$
\boxed{P, Q, R, S, T, U, V, W, X, Y}
$$
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Final Answers:
1. (i) Points: $\boxed{A, B, C, D, E, F}$
(ii) Lines: $\boxed{AB, EF}$
(iii) Rays: $\boxed{BA, CB, DC, ED, FE, AF}$
(iv) Line segments: $\boxed{AB, BC, CD, DE, EF, FA}$
2. Collinear points on line $ XY $: $\boxed{P, Q, R, S, T, U, V, W, X, Y}$
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This completes the solution. If you have any further questions, feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of points line segments lines and rays worksheet.