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Q.

Fill in the blank:


Any segment AB is ____ to segment BA.


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Detailed Solution

Concept- Any segment AB is equal to segment BA.
To answer this question, we will use the definition of line and line segment.
Lines are not the same as line segments, when a line segment is tied to two fixed locations. As a result, a line can extend indefinitely on both sides and lack a fixed point. That means it has an endless length. Line segments have set lengths, whereas lines have an arbitrary length and cannot be measured. Because it is fixed, a line segment's length is finite; nevertheless, a line's length is infinite because it can never be fixed.
In order to answer this question, we need to find out the relationship between the line segments AB and BA.
As is common knowledge, a line segment is connected to two fixed points. The line segment is bound in this instance as follows between the fixed points A and B:
Question ImageThe line segment AB thus begins at point A and finishes at point B.
If the distance between points A and B is 6 cm, this indicates that the length of AB is 6 cm. Now, if we switch the fixed points A and B and draw the line again, it will look like this:
Question ImageAs a result, the line segment will now be identified as BA, starting at point B and finishing at point A.
We have just changed the fixed points, not the length of the line. Thus, BA is bound between the identical points B and A, with no change in the distance between these two points.
As a result, line segment AB and line segment BA are equal because they travel through the same two points, A and B.
Therefore, even if the two points are switched, the length of the line segment connecting them remains constant. Segment AB is therefore equivalent to segment BA.
Hence, In order to fill in the blank, we will use the word ‘equal’.
 
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