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In geometry, congruent means identical in shape and size. Congruence can be applied to line segments, angles, and figures. Any two line segments are said to be congruent if they are equal in length. Two angles are said to be congruent if they are of equal measure.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. [1]
Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length. Illustrated definition of Congruent: The same shape and size (but we are allowed to flip, slide or turn). In this example the shapes are congruent,...
Congruent. When one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent: Turn! Flip! Slide! After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.
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.
Congruent Triangles. When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Two geometrical figures are said to be congruent if they are identical in every respects. For example, two squares of the same side-length are congruent, as shown below: Similarly, two circles with the same radius are congruent: