Which instrument is used to compare two line segments?a)Compassesb)A d...
The instrument used to compare two line segments is a divider.A divider is a tool with two pointed legs joined at a hinge. It is commonly used in geometry to measure and compare distances, angles, and line segments. The legs of a divider can be adjusted to different lengths, allowing for precise measurements.
How to use a divider to compare line segments:
When comparing two line segments using a divider, follow these steps:
- Place one leg of the divider at one end of the first line segment.
- Open the divider and adjust the other leg to match the length of the first line segment.
- Without changing the length of the divider, move it to the second line segment.
- Place the adjusted leg of the divider at one end of the second line segment.
- Observe if the other leg of the divider aligns with the other end of the second line segment.
- If the legs align, it means the two line segments have the same length. If not, they have different lengths.
The divider allows for precise comparison of line segments because it can maintain the adjusted length while moving it to different locations.
Comparison with other instruments:
While other instruments like compasses, set squares, and protractors are used in geometry, they are not specifically designed for comparing line segments.
-
Compasses: Compasses are used to draw circles and arcs of a specific radius. They consist of two adjustable legs with a pencil on one end and a pointed end on the other. They are not suitable for directly comparing line segments.
-
Set squares: Set squares, also known as triangles, are used to draw straight lines and measure angles. They have fixed angles of 30, 45, or 60 degrees. They are not designed for comparing line segments.
-
A protractor: A protractor is used to measure angles. It has a semicircular shape with degree markings. While it can indirectly help compare line segments by measuring the angles they form, it is not the most precise instrument for this purpose.
Conclusion:
In conclusion, a divider is the instrument specifically designed for comparing two line segments. Its adjustable legs allow for precise measurements and comparisons, making it a valuable tool in geometry.