Let's analyze each of the drawings (a) through (f) and identify what geometric figure each one represents. We'll label them based on standard geometric definitions.
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Definitions to recall:
-
Line: A straight path that extends infinitely in both directions. Represented with arrows at
both ends.
-
Ray: A part of a line that has
one endpoint and extends infinitely in
one direction. Represented with an arrow at
one end.
-
Line Segment: A part of a line with
two endpoints. No arrows; just two dots at the ends.
-
Point: A location in space, represented by a dot.
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Now let’s go through each:
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a)
- Two points: A and B
- Arrows at
both ends → extends infinitely in both directions
✔ This is a
line
→ Label:
Line AB or simply
Line
> But since it passes through points A and B, we can name it
Line AB.
✔️
Answer: Line AB
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b)
- Points D and E
- Arrow only at the
right end, so it starts at D and goes through E and continues infinitely
- One endpoint (D), extends infinitely in one direction
✔ This is a
ray
→ Starts at D, goes through E
✔️
Answer: Ray DE
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c)
- Points X and Y
- Both ends are
dots (no arrows)
- So it has two endpoints
✔ This is a
line segment
→ Between X and Y
✔️
Answer: Segment XY or
Line segment XY
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d)
- Points W and Z
- Arrow at the
end after Z, so it starts at W, goes through Z, and continues infinitely
- One endpoint (W), extends infinitely from there
✔ This is a
ray
→ Starts at W, goes through Z
✔️
Answer: Ray WZ
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e)
- Points C and F
- Arrows at
both ends → extends infinitely in both directions
- Even though C and F are labeled, the line goes beyond them
✔ This is a
line
→ Passes through C and F
✔️
Answer: Line CF
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f)
- Points G and H
- Both ends are
dots (no arrows)
- So it has two endpoints
✔ This is a
line segment
→ Between G and H
✔️
Answer: Segment GH or
Line segment GH
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✔ Final Answers:
a)
Line AB
b)
Ray DE
c)
Segment XY
d)
Ray WZ
e)
Line CF
f)
Segment GH
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These labels follow standard geometric notation:
-
Line: named by any two points on it, e.g., "Line AB"
-
Ray: named by endpoint first, then another point on the ray, e.g., "Ray DE"
-
Segment: named by its two endpoints, e.g., "Segment XY"
Parent Tip: Review the logic above to help your child master the concept of line segment worksheet.
