What Does Congruent Mean In Math Terms

Congruent means that objects have the same shape.

What does congruent mean in math terms.

While the size and shape of two congruent objects are equal their orientations may be different. Anyway it comes from latin congruere to agree so the shapes agree. 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. Maybe because they are only equal when placed on top of each other.

Two objects are congruent if they have the same dimensions and shape. Equal should be used to relate the lengths or measurements of two sides angles or parts of shapes. The same shape and size but we are allowed to flip slide or turn. It does not mean that they are equal exactly.

Exactly equal in size and shape. Congruent sides or segments have the exact same length. Relating to geometric figures that have the same size and shape. Two triangles are congruent for example if their sides are of the same length and their internal angles are of the same measure.

People often confuse this word with equal but there is a small difference in the way that these two words should be used. Congruent angles have the exact same measure for any set of congruent geometric figures corresponding sides angles faces etc. Definition and meaning of the math word congruent. Congruent segments sides and angles are often marked.

In math we have a special symbol to show congruency. Why such a funny word that basically means equal. In this example the shapes are congruent. Illustrated definition of congruent.

The ability to recognize congruence is important in geometry and other fields that rely on this type of math.