Use esse importante conceito para provar vários teoremas geométricos que envolvem triângulos e paralelogramos. Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles
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The unchanged properties are called invariants.
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. To be congruent, two figures must be exactly the same in both shape and size
Each side must match in length, and each angle must match in measure Similar figures, on the other hand, only need to have the same shape. In congruent figures, the corresponding sides are congruent, and the corresponding angles are congruent Notice the 8 facts known to be true about the two congruent trapezoids
Known information regarding the corresponding parts in congruent figures is often marked on the diagrams.
Two geometric figures are called congruent if they can be perfectly overlapped point by point through a rigid motion A rigid motion involves moving the figure without distortion through translation, rotation, and/or reflection. When one shape can become another using turns, flips and/or slides, then the shapes are congruent After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths
Here are 3 examples of shapes that are congruent In geometry, the term congruent is used to describe figures or shapes that are identical in form and size When two shapes are congruent, you can place one on top of the other, and they will match up perfectly This concept is fundamental in geometry and is used to compare various geometric figures.
In geometry, congruent is a concept that refers to two figures being identical or “the same” in shape and size
Let’s take a closer look at what congruent means, how to tell if two shapes are congruent, and some examples of congruency in geometry.
