Congruency Frequently Asked Questions

What are Congruent Figures?

Congruent figures means identical shape and size, if two shapes have corresponding sides and angles equal they are known as congruent figures.

What Does Congruent Mean in Geometry?

When two or more shapes are identical in nature, they are said to be congruent in geometry.

How to Prove Congruency of Triangles?

We need to prove corresponding sides and angles are equal in triangle, for them to be congruent. Generally, we can use 4 rules-

SSS rule

SAS rule

ASA rule

AAS rule

RHS rule

where A stands for angle and S is sides. To learn about it in detail, check Congruency of Triangles.

Are Congruent Figures Always the Same Size?

Yes, Congruent Figures are always the same size and shape. However, orientation of congruent shapes can be different. Figures which are same shape, but different size are called as similar figures.

Why is Congruency Important in Geometry?

Congruency is identical figures which may have different orientation, in geometry congruence helps in deductive reasoning, exact calculations and measurements. It helps in understanding properties and characteristics of various geometric figures.

What Shape has all Congruent Sides?

Square is the only shape that has all congruent sides

Congruency

Congruency is a mathematical term that means two or more objects have the same shape and size or if one is the mirror image of the other.

In this article, we will understand the basic geometric concept of congruency, how they are related, their types, some practical applications of congruency, and solve some problems in trigonometry.

Table of Content

What is Congruency?
Type of Congruency
Properties and Characteristics of Congruent Figures
Congruent and Similar Figure