## Definition: Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.

सर्वांगसमता का एक उदाहरण - वायीं तरफ् की दो आकृतियाँ सर्वांगसम हैं; तीसरी आकृति उनके समरूप है; अन्तिम आकृति, पहली दो आकृतियों के  तो सर्वांगसम है न ही समरूप।
ज्यामिति में बिन्दुओं के दो समुच्चय को परस्पर सर्वांगसम (congruent) कहते हैं यदि उनमें से किसी एक समुच्चय को स्थानान्तरण (translation), घूर्णन(rotation), परावर्तन (reflection) या इनके मिश्रित क्रियाओं के द्वारा परिवर्तित करने पर दूसरा समुच्चय प्राप्त किया जा सके।

## How to tell if triangles are congruent

Any triangle is defined by six measures (three sides, three angles). But you don't need to know all of them to show that two triangles are congruent. Various groups of three will do. Triangles are congruent if:
1. SSS (side side side)
All three corresponding sides are equal in length.
See Triangle Congruence (side side side).
2. SAS (side angle side)
A pair of corresponding sides and the included angle are equal.
See Triangle Congruence (side angle side).
3. ASA (angle side angle)
A pair of corresponding angles and the included side are equal.
See Triangle Congruence (angle side angle).
4. AAS (angle angle side)
A pair of corresponding angles and a non-included side are equal.
See Triangle Congruence (angle angle side).
5. HL (hypotenuse leg of a right triangle)
Two right triangles are congruent if the hypotenuse and one leg are equal.
See Triangle Congruence (hypotenuse leg).

### congruent triangles worksheet grade 9

 congruent triangles worksheet for Hindi Medium

 congruent triangles worksheet for Hindi Medium

 congruent triangles worksheet

 congruent triangles worksheet for Hindi Medium

 congruent triangles worksheet

 congruent triangles worksheet
 congruent triangles worksheet

 corresponding parts of congruent triangles worksheet

 congruent triangles worksheet doc

 corresponding parts of congruent triangles worksheet

 corresponding parts of congruent triangles worksheet

 corresponding parts of congruent triangles worksheet

 corresponding parts of congruent triangles worksheet

 corresponding parts of congruent triangles worksheet
There are five ways to find if two triangles are congruent: SSSSASASAAAS and HL.
• SSS (sidesidesideSSS stands for "sidesideside" and means that we have two triangles with all three sides equal. ...
• SAS (sideangleside) ...
• ASA (anglesideangle) ...
• AAS (angleangleside) ...
• HL (hypotenuseleg)