What Does Congruent Mean In Math Terms

Two triangles are congruent for example if their sides are of the same length and their internal angles are of the same measure.

What does congruent mean in math terms.

The same shape and size but we are allowed to flip slide or turn. In math we have a special symbol to show congruency. Maybe because they are only equal when placed on top of each other. Congruent segments sides and angles are often marked.

Anyway it comes from latin congruere to agree so the shapes agree. Very loosely you can think of it as meaning equal but it has a very precise meaning that you should understand completely especially for complex shapes such as polygons. Illustrated definition of congruent. 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. Congruent means that objects have the same shape. 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.

Definition and meaning of the math word congruent. Exactly equal in size and shape. People often confuse this word with equal but there is a small difference in the way that these two words should be used. In this example the shapes are congruent.

It does not mean that they are equal exactly. Relating to geometric figures that have the same size and shape. 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 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.

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.