What Does Congruent Mean In Math Terms

Exactly equal in size and shape.

What does congruent mean in math terms.

Why such a funny word that basically means equal. The same shape and size but we are allowed to flip slide or turn. 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.

Relating to geometric figures that have the same size and shape. Equal should be used to relate the lengths or measurements of two sides angles or parts of shapes. Illustrated definition of congruent. It does not mean that they are equal exactly.

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. The ability to recognize congruence is important in geometry and other fields that rely on this type of math. In this example the shapes are congruent. Congruent sides or segments have the exact same length.

Maybe because they are only equal when placed on top of each other. Definition and meaning of the math word congruent. 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. Two objects are congruent if they have the same dimensions and shape.

Anyway it comes from latin congruere to agree so the shapes agree. Congruent means that objects have the same shape. In math we have a special symbol to show congruency. While the size and shape of two congruent objects are equal their orientations may be different.

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.