notes
Congruence Among Line Segments:

The method of superposition examines the congruence among line segments.

Copy `bar"CD" "and place it on " bar"AB"`.
You find that `bar"CD" "covers" bar"AB"`, with C on A and D on B.
Hence, the line segments are congruent. We write `bar"AB" ≅ bar"CD"`.

If two line segments have the same (i.e., equal) length, they are congruent. Also, if two line segments are congruent, they have the same length.

Copy `bar"RS" "and place it on" bar"PQ"`.
`bar"RS" and bar"PQ"` are not congruent. 
It is because the line segments do not coincide when placed one over another.
If you would like to contribute notes or other learning material, please submit them using the button below.
Shaalaa.com  What is Congruence among Line Segments?
to track your progress
Related QuestionsVIEW ALL [3]
Advertisement