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.

Two line segments are congruent if they have the same length.

Q. Fill in the blanks:

(i) Two lines segments are congruent if they have ...... .
(ii) Two angles are congruent if they have ...... .
(iii) Two squares are congruent if they have ...... .
(iv) Two circles are congruent if they have ...... .
(v) Two rectangles are congruent if they have ...... .
(vi) Two triangles are congruent if they have ...... .

Consider the following two statements:
Statement - 1: If two figures have same shape and same size then they are called congruent.
Statement - 2: If two figures have equal area they are called congruent.
Now, choose the correct option.

Question 59

Fill in the blanks to make the statement true.

Two line segments are congruent if they are of _____ lengths.

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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.