Question

State and write different triangular congruency criteria –All rules [CLASS 9]

Answer 1

Answer:

Answer...Mark me brainliest

Answer 2

$\sf\huge\bold{Answer:}$

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.

$\fbox{Note:This case is only possible when triangles are right angled.}$

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