Question

1. write all the criterias for congruency.
please help me. ​

Answer 1

Answer:hope this helped you

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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