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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Option A: Line
A line extends infinitely in both directions. The figure ABC does not extend infinitely; it has endpoints (A and C).
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Option B: Ray
A ray starts at a point and extends infinitely in one direction. The figure ABC has two rays, but it is not just a single ray.
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Option C: Angle
An angle is formed by two rays sharing a common endpoint. The figure ABC shows two rays (BA and BC) sharing a common endpoint B, forming an angle.
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Option D: Point
A point is a single location in space. The figure ABC is not just a single point; it includes multiple points and rays.
Correct Answer: C. angle
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Problem 2: Which is a line?
We need to identify which figure represents a line. A line extends infinitely in both directions.
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Option A:
This figure has arrows on both ends, indicating that it extends infinitely in both directions. This is a line.
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Option B:
This figure has a dot on one end and no arrow on the other end, indicating that it does not extend infinitely in both directions. This is not a line.
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Option C:
This figure has arrows on both ends, indicating that it extends infinitely in both directions. This is a line.
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Option D:
This figure is a single point, not a line.
Both options A and C are lines, but since the question asks for "which is a line," we can choose either. However, typically, only one answer is expected, so we'll select the first correct option.
Correct Answer: A
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Problem 3: Which figure shows a line segment?
A line segment is a part of a line with two endpoints. We need to identify which figure in the given diagram represents a line segment.
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Option A: Figure AC
Figure AC is a vertical line segment with endpoints A and C. This is a line segment.
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Option B: Figure DFE
Figure DFE is a ray starting at point D and extending through F and E. This is not a line segment.
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Option C: Figure ADC
Figure ADC is a vertical line segment with endpoints A and C. This is the same as Figure AC and is a line segment.
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Option D: Figure BD
Figure BD is a horizontal line segment with endpoints B and D. This is a line segment.
Among the options, Figure AC (Option A) is explicitly mentioned and is a valid line segment.
Correct Answer: A. Figure AC
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Final Answers:
1.
C. angle
2.
A
3.
A. Figure AC
Boxed Final Answer:
\[
\boxed{C, A, A}
\]
Parent Tip: Review the logic above to help your child master the concept of lines and angles worksheet.
