What Does Congruent Mean In Math Terms

Illustrated definition of congruent.

What does congruent mean in math terms.

Congruent sides or segments have the exact same length. 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. Congruent segments sides and angles are often marked. Anyway it comes from latin congruere to agree so the shapes agree.

Congruent angles have the exact same measure for any set of congruent geometric figures corresponding sides angles faces etc. While the size and shape of two congruent objects are equal their orientations may be different. Equal should be used to relate the lengths or measurements of two sides angles or parts of shapes. Why such a funny word that basically means equal.

The ability to recognize congruence is important in geometry and other fields that rely on this type of math. If we call our squares square a and square b we can write that they are congruent using the congruency symbol which is an equal sign. People often confuse this word with equal but there is a small difference in the way that these two words should be used. Two triangles are congruent for example if their sides are of the same length and their internal angles are of the same measure.

More formally two sets of points are called congruent if and only if one can be transformed into the other by an isometry i e a combination of rigid motions namely a translation a rotation and a reflection. In this example the shapes are congruent. The same shape and size but we are allowed to flip slide or turn. Exactly equal in size and shape.

Congruent means that objects have the same shape. It does not mean that they are equal exactly. Definition and meaning of the math word congruent. Two objects are congruent if they have the same dimensions and shape.

Relating to geometric figures that have the same size and shape.