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Question

Consider the two statements:

Statement 1: If two line segments have the same length, then they are congruent.

Statement 2: If two line segments are congruent, then they have the same length.


A

Statement 1 is true and statement 2 is false.

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B

Statement 1 is false and statement 2 is true.

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C

Both Statement 1 and statement 2 are true.

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D

Both Statement 1 and statement 2 are false.

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Solution

The correct option is C

Both Statement 1 and statement 2 are true.


Two line segments are congruent only if they superimpose which is possible only if they have equal length and the converse is also true.
Hence, both the given statements are true.


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