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# Congruent Triangles

Congruent Triangles are basically those Similar Triangles which are same in size and angle. But these triangles are flipped. According to Congruent Triangles definition, triangles are congruent only when all interior angles and congruent sides of the triangle are congruent. If we want to determine that which two triangles are congruent to each other then we have to search ,that any of these conditions are satisfied or not. So the conditions are as follows:

To understand we assume that we have two triangles Δ ABC and Δ A'B'C' in which Δ ABC contains three sides a, b, c respectively and triangle Δ A'B'C' contains three sides a’, b’ and c' respectively. So according to first condition if two pairs of sides of both triangles and one angle of both triangles is same then we can say that triangles are congruent. So we can write that

b = b’, c = c' and <A = <A then triangles Δ ABC and Δ A'B'C' are congruent.

If in case that if two triangles Δ ABC and Δ A'B'C' have two pair of angles are same with one side is common in both then the triangles are said to be congruent.

<A = <A’, <B = <B' and c = c' then triangles Δ ABC and Δ A'B'C' are congruent.

If all sides of triangle Δ ABC and triangle Δ A'B'C' are same then we can say that triangles are congruent. So we can write that
a=a’, b=b’, c= c',

To understand congruence triangles more deeply we take an example where we have two triangles DEF and Δ D’E’F’. Now we have to find that both triangles are Geometry congruent triangles or not. The sides of Δ DEF are d = 1 , e = 2 and f= 3. The triangle Δ D'E'F' sides are d' = 1, e'= 2 and f'=3. Now we have to find out that both triangles are congruent or not.
Here we can easily see that sides of both triangles are same so
d = d' = 1, e = e'= 2, f= f'=3
Both triangles are congruent triangle.

## Congruent Triangles Proofs

Congruency can be defined as the property which states that any two figures which are same in shape, size, occurrence and angles that is any two figures which look exactly alike are said to be obeying the congruency property. Any two Triangles are said to be congruent if they exactly look alike that is, the sides, angles and lengths are same for both triangles...Read More

## Test for Congruence

There is a difference between the term similar and congruent.  Word similar means that they have same angles, but not necessary the measurements are same.
We must know that the two figures are congruent if they have s...Read More

## Corresponding Parts

Before studying the corresponding parts of triangle we will first study about triangle. The three lines segments which join end to end to form a close shape is known as triangle.
Now we will see corresponding parts of a triangle.
When we see that two Triangles having same shape and size and all parts of a triangle exactly matches with other triangle then we can say...Read More