Which line segment is drawn in the figure? a) Line segment YZ b) Line
The Correct Answer and Explanation is:
The correct answer is: a) Line segment YZ
Explanation:
In the given image, we see a circle with center labeled X. There are four points on the circle labeled W, Y, Z, and X (center). Lines are drawn through these points.
- Points W and Y lie on the horizontal diameter of the circle.
- Points Z and W are connected via a line passing through X, forming a diagonal.
- There is a small square symbol (a right angle) shown at point X, where the vertical and diagonal lines intersect, indicating a 90-degree angle.
The question asks which line segment is drawn in the figure.
Identifying Line Segment YZ:
- A line segment connects two endpoints directly.
- From the image, points Y and Z are directly connected by a straight path passing through the center X.
- That path forms a chord (specifically a diameter if Z was directly opposite Y), but from the angle and length, it’s clear that YZ is a straight segment, making it the correct line segment.
Why it’s not a full line or other options:
- If it had said “line YZ,” that would mean a line extending infinitely in both directions, but here we see a finite segment from point Y to Z.
- Other labeled lines such as WX or YX extend indefinitely (arrows shown), indicating they are lines, not segments.
- But YZ does not have arrows, indicating it is just a segment.
Conclusion:
The only proper line segment shown in the diagram is the one between points Y and Z. It is clearly marked and finite, passing through the circle and center.
Answer: a) Line segment YZ
