Let's solve the problems step by step.
Problem 1: What is represented by figure ABC?
The figure ABC consists of two rays originating from point B and extending through points A and C. This forms an angle at point B.
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Line: A line extends infinitely in both directions.
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Ray: A ray has one endpoint and extends infinitely in one direction.
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Angle: An angle is formed by two rays sharing a common endpoint (vertex).
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Point: A point is a single location in space.
Since the figure ABC shows two rays meeting at a common point (B), it represents an
angle.
Answer: C. angle
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Problem 2: Which is a line?
We need to identify which option represents a line. A line extends infinitely in both directions.
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Option A: This is a ray because it has one endpoint and extends infinitely in one direction.
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Option B: This is a line segment because it has two endpoints.
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Option C: This is a line because it extends infinitely in both directions.
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Option D: This is a point because it is a single location in space.
Answer: C
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Problem 3: Which figure shows a line segment?
A line segment is a part of a line that has two endpoints.
From the given diagram:
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Figure AC: This is a line segment because it has endpoints A and C.
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Figure DFE: This is not a line segment because it extends infinitely in one direction (ray).
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Figure ADC: This is not a line segment because it extends infinitely in both directions (line).
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Figure BD: This is a line segment because it has endpoints B and D.
Both Figure AC and Figure BD are line segments, but we need to choose the correct option based on the provided choices.
Answer: A. Figure AC
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Final Answers:
1.
C. angle
2.
C
3.
A. Figure AC
Boxed Answers:
\[
\boxed{C, C, A}
\]
Parent Tip: Review the logic above to help your child master the concept of lines rays and angles worksheet.