Two students drew a line segment each. What is the condition for them ...
Answer:
To determine if two line segments drawn by two students are congruent, we need to consider their lengths. In geometry, congruence refers to two figures that have the same shape and size. Therefore, for two line segments to be congruent, they must have the same length.
Explanation:
Definition of Congruent Line Segments:
Two line segments are said to be congruent if they have the same length. Congruent line segments can be thought of as identical copies of each other, regardless of their position or orientation.
Importance of Length:
The length of a line segment is a fundamental attribute that determines its size. If two line segments have different lengths, it means they are not equal in size and therefore cannot be congruent.
Comparison of Lengths:
To determine if two line segments are congruent, we need to compare their lengths. If the lengths of the line segments are the same, then they are congruent. On the other hand, if the lengths are different, then the line segments are not congruent.
Other Factors:
The options mentioned in the question, such as being drawn with a scale or on the same sheet of paper, do not affect the congruence of line segments. The use of a scale or the paper on which the line segments are drawn does not change their lengths. Therefore, these factors are not relevant to determining congruence.
Correct Condition:
The correct condition for two line segments to be congruent is that they must have the same length. This means that the lengths of the line segments should be equal for them to be considered congruent.
Conclusion:
In conclusion, for two line segments to be congruent, they need to have the same length. Other factors such as being drawn with a scale or on the same sheet of paper are not relevant to determining congruence. The length of the line segments is the key factor in establishing congruence.
Two students drew a line segment each. What is the condition for them ...
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