Two line segments are congruent if they have the same length. Find out that the above statement is true or false.
ANSWER
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Hint: Congruent means equal. Take two line segments of the same length and check if they are equal or not. If they are equal then the above statement is true, otherwise the statement is false.
Complete step-by-step answer: We know that a line segment is the part of a line that connects two points. It is the shortest distance between two points and it has a length. Adding the word “segment” is very important, because a line normally extends in both directions without end. But a line segment has two definite end points. Congruent means equal. Now two line segments have the same length, meaning that the distance between the starting point and the end point are the same for both the lines. For example,
Here AB is a line segment where the starting point is A and the end point is B. And the length of AB is 10 cm. Similarly, CD is a line segment where the starting point is C and the end point is D. The length of the CD is also 10 cm. Both the line segments have the same length. That means both line segments are equal. Therefore, they are congruent to each other. Hence, the statement that “two line segments are congruent if they have the same length” is true.
Note: Any line segments are congruent if they have the same length. However, they need not to be parallel. They can be at any angle or orientation on a plane. We generally think two or more congruent line segments means they need to be parallel to each other. That is not true.