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What are the 5 Rules of congruent triangles?

Sagot :

The five rules of congruency of triangles would be SSS, SAS, ASA, AAS, and RHS.

What is the congruency of triangles?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and angles of the two triangles.

Conditions of congruency of triangles:

1.) SSS (Side-Side-Side)

If all three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by the SSS rule.

2.) SAS (Side-Angle-Side)

If any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by the SAS rule.

3.) ASA (Angle-Side-Angle)

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and the side included between the angles of the second triangle, then the two triangles are said to be congruent by the ASA rule.

4.) AAS (Angle-Angle-Side)

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

5.) RHS (Right angle- Hypotenuse-Side)

If the hypotenuse and a side of a right-angled triangle are equivalent to the hypotenuse and a side of the second right-angled triangle, then the two right triangles are said to be congruent by the RHS rule.

Hence, the five rules of congruency of triangles would be SSS, SAS, ASA, AAS, and RHS.

To learn more about the congruency of triangles, visit:

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