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- Congruent lines can be identified by their length and angle. The length of congruent lines must be equal, and the angles of the lines must be equal as well. If two lines are the same length and angle, then they are congruent. Congruent lines can also be identified by their symmetry.
www.intmath.com/functions-and-graphs/congruent-lines.php
If the lengths of two line segments are equal, they are known to be congruent. For example, sides of an equilateral triangle are congruent as all the three sides are of equal measure. The distance between two lines which are line segments and are congruent have a distance of zero units between them.
Two line segments are congruent if they have the same length. Two angles are congruent if they have the same measure. Two circles are congruent if they have the same diameter.
For line segments, 'congruent' is similar to saying 'equals'. You could say "the length of line AB equals the length of line PQ". But in geometry, the correct way to say it is "line segments AB and PQ are congruent" or, "AB is congruent to PQ".
Congruent or Similar? The shapes need to be the same size to be congruent. When we need to resize one shape to make it the same as the other, the shapes are Similar.
If one shape can become another using Resizing (also called dilation, contraction, compression, enlargement or even expansion), then the shapes are Similar: These Shapes are Similar! If there is no need to resize, then the shapes are better called Congruent *.
Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.
There are four conditions to be able to prove if a pair of triangles is congruent. Reasons for congruency. SSS: side-side-side (three sides the same) RHS: right-hypotenuse-side (right angle, hypotenuse, and a side the same) ASA or AAS: angle-side-angle or angle-angle-side (two angles and one side the same)
