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.

Statement 1 is true and statement 2 is false.

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Statement 1 is false and statement 2 is true.

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Both Statement 1 and statement 2 are true.

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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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Similar questions

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.

Consider the two statements:

Statement 1: The points A, B, and C will lie on a straight line if $∠ A B D$ + $∠ C B D$ = $180^{\circ}$ .

Statement 2: The angle on a straight line is $180^{\circ}$ .

Statement1 : $c o s^{2} A$ + $s i n^{2} A$ = 1

Statement2 : $s e c^{2} A$ + $t a n^{2} A$ = 1

Q. State whether the given statement is true or false.
Two line segments are said to be congruent if they are equal in length.

Statement 1: If two figures A and B are congruent, then they must have equal area.

Statement 2: If two figures A and B have equal area, then they must be congruent.

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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.

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.

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.

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.