Congruent Triangles

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Key word of Congruent Triangles

The study of congruent triangles is really the initial phase in the investigation of the connection between two shut figures in Geometry calculation. Realize what is a harmonious structure, a consistent triangle, and the relating components of a compatible triangle

Congruence of 2-D Figures

A couple of 2-D figures which might be made to harmonize is known as a couple of harmonious 2-D figures. In this part we focus on the harmoniousness of sets of triangles.

First Case

SAS: The case in which different sides and the included angle of one triangle are equivalent to different sides and the included angle of another triangle

Example 1

Congruence of three triangles

SAS: Three triangles with different sides of length 3 cm and 4 cm and a angle 30o are given given below.

Congruence of two triangles

Example 2

The two triangles ABC and MNO given underneath can be demonstrated to be consistent as indicated by the previously mentioned case utilizing the given information as follows.

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Second Case

AAS: The case in which the sizes of two angles and the length of a side of a triangle are equivalent to the sizes of two angle and the length of a relating side of another triangle

Example 1

Congruence of two triangles

Third Case

SSS: The instance of three sides of a triangle being equivalent to three sides of another triangle

Example

Fourth Case

The instance of the hypotenuse and a side of a right - angled triangle being equivalent to the hypotenuse and a side of another right - angled triangle.

Example

find a way to prove the condition

SSS three sides compare to approach, then the two triangles are equivalent, as a rule, notwithstanding the start of realizing this might rehearse this sort, typically other act of this technique isn't plausible, on the grounds that for the most part won't tell you straightforwardly or in a roundabout way that the three sides are equivalent.

SAS corner edges compare to approach, then, at that point, the two triangles are equivalent, this point is the point of the point, this direct ought to focus toward the

AAS corner relating to rise to, then, at that point, the two triangles are equivalent, this side is the contrary side of one of the corners, assuming that it is a sandwich edge, kindly see the following point.

ASA corner points relate to approach, then, at that point, the two triangles are equivalent, this side is the sandwich edge, that is to say, the normal side of the two corners HL right triangle hypotenuse and a right point side compare to rise to, then the two triangles are equivalent, note that the right triangle, and not the sandwich edge, on the off chance that the sandwich edge relates to rise to, SAS, as opposed to HL, here to focus.