# Congruent Shapes

In congruent shapes or congruent figures we will learn how to recognize that when two shapes or figures are congruent.

The two figures which are same shape and same size are called congruent figures and the relation of two figures being congruent is called congruence.

The symbol to denote congruence is .

Two line segments are congruent if both have the same length.

Congruent line segments

Two circles are congruent if both of them have the same radii.

Congruent circles

Two triangles are congruent if both of them have the same length of sides.

Congruent triangles

Two rectangles are congruent if both of them have the opposite sides are equal.

Congruent rectangle

Two squares are congruent if both of them have the same edges.

Congruent squares

Thus, the method of comparing two figures is known as the method of superposition.

Congruent or Similar

 Congruent shapes:Two geometrical shapes which are identical in shape and size are said to be congruent. We use the symbol ‘≅’ to denote congruence. For example: (i) Two circle of same radii. (ii) Two line segments of same length. Similar shapes: Geometrical shape which have same shape but different size are called similar shape or figure. We use the symbol ‘~’ to denote similarly. For example: (i) Two circle of different radii. (ii) Two line segments of different measure.

Note: Two congruent figures are always similar but two similar figures may not be congruent.

Congruent Line-segments

Congruent Angles

Congruent Triangles

Conditions for the Congruence of Triangles

Side Side Side Congruence

Angle Side Angle Congruence

Angle Angle Side Congruence

Pythagorean Theorem

Converse of Pythagorean Theorem

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Comparison of Three-digit Numbers | Arrange 3-digit Numbers |Questions

Sep 13, 24 02:48 AM

What are the rules for the comparison of three-digit numbers? (i) The numbers having less than three digits are always smaller than the numbers having three digits as:

2. ### Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

Sep 13, 24 02:23 AM

Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

3. ### 2nd Grade Place Value | Definition | Explanation | Examples |Worksheet

Sep 13, 24 01:20 AM

The value of a digit in a given number depends on its place or position in the number. This value is called its place value.

4. ### Comparison of Two-digit Numbers | Arrange 2-digit Numbers | Examples

Sep 12, 24 03:07 PM

What are the rules for the comparison of two-digit numbers? We know that a two-digit number is always greater than a single digit number. But, when both the numbers are two-digit numbers