i want explanation of Congruence of triangle by all criteria
Answers
ASA- angle side angle
SSS - side side side
RHS- right hypotenuse side
What is congruency?
The quality of being similar is called congruency.
Geometric figures that have the same size and shape are congruent to each other.
Criteria For Congruency(of the triangle) are:-
- SSS Criterion
When all the three sides of one triangle are equal to another triangle.
In∆ABC and ∆XYZ
AB=XY
BC=YZ
CA=ZX
∆ABC≅∆XYZ
By SSS criteria
- SAS Criterion
When two sides, as well as the angle between those sides of one triangle, are congruent to another triangle.
In∆ABC and ∆XYZ
AB=XY
BC=YZ
∠B=∠Y
∆ABC≅∆XYZ
By SAS criteria
- ASA Criterion
When two angles, as well as one side between those angles of one triangle, are congruent to the other triangle.
In∆ABC and ∆XYZ
∠C=∠Z
BC=YZ
∠B=∠Y
∆ABC≅∆XYZ
By ASA criteria
- AAS Criterion
When two angles, as well as one side of one triangle, are congruent to another triangle.
In∆ABC and ∆XYZ
∠C=∠Z
∠B=∠Y
AC=XZ
∆ABC≅∆XYZ
By AAS criteria
- RHS Criterion
When right angle, hypotenuse as well as one side of one triangle, are congruent to another triangle.
In∆ABC and ∆XYZ
∠B=∠Y [each 90°]
AC=XZ [hypotenuse are equal in length]
AB=XY [the other side]
∆ABC≅∆XYZ
By RHS criteria
