Congruent Shapes | List of Congruent Shapes Triangles, Quadrilaterals, Irregular Shapes and Circles With Description

Congruent Shapes: The word congruent means that it is similar to two shapes in many respects. The shapes that are congruent have similar corresponding parts. One needs to understand if some shapes are shapes with congruent sides. Congruent shapes have the same size and the same shape. Hence, if one holds a mirror in front of the objects then they will seem equal.

Many shapes such as a triangle, a circle, a quadrilateral and all other shapes can be congruent types. You can do congruent math easier if you know about it.

Keeping this in mind, we have rightly compiled a few names of shapes and sizes and have mentioned a list of congruent shapes vocabulary that will help you know about the same in detail.

List of Congruent Shapes Triangles, Quadrilaterals, Irregular Shapes and Circles Vocabulary

Name of Congruent Shapes Triangles, Quadrilaterals, Irregular Shapes and Circles Vocabulary words

Description of the Congruent Shapes Triangles, Quadrilaterals, Irregular Shapes Vocabulary words on the list

Angle side angle congruent triangle

Triangles often have congruency problems since we can calculate it using the angle sum theorem. The angle side angle congruency can be proved with the angle sum theorem which has angles equaling to 180 degrees.

Side angle side congruent triangle

Side angle side congruent triangle has similar two sides and one similar angle with another triangle proving that it is congruent.

Side Side Side congruent triangle

Side side side triangle is the simplest to prove that they are congruent. All the sides of the two triangles will have same measuring sides. It is congruent due to a type of translation called reflection.


When considering two shapes of a rectangle, we can line them up so that the sides can be measured. If the sides have the same lengths, we can mark them with a short straight line and the number of lines through a side will correspond with the same number of lines on the second square.

Square rhombus

We can prove that the four sides of a square rhombus are congruent if we know the properties of a square rhombus. One among of the most important fact is that the opposite angles are equal to ninety degrees.


A parallelogram has all the opposite sides of the quadrilateral parallel to each other. The property of a parallelogram dictates that we have to find the angles of the shape and the lengths of the opposite sides to prove that they are congruent.


If the opposite sides are not equal and parallel, then the shape is a kite. But the adjacent sides of a kite are similar. We can prove the congruency if we know its properties.

Trapezoid (trapezium)

A trapezium can also be proven to be congruent with another trapezium if both of them are an exact match even if they are flipped and rotate. If the angles of one shape are equal to another trapezium, then they will be equal or congruent.

Irregular shapes

When we consider irregular shapes, it is best to put both of them in the same orientation and to mark them with the corresponding sides. There can be any such number of sides and angles to these irregular shapes.


We can prove that two circles are congruent if we can prove that they have congruent radii or circumference. It is often one step in a large congruency proof. Since all circles have a diameter, and a radius, we can calculate them to see that they are congruent.

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