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Do you always need three congruent corresponding parts to prove triangles congruent?

Sagot :

Yes we need three congruent corresponding parts to prove triangles congruent.

We know that,

two triangles are congruent if they have:

exactly the same three sides and exactly the same three angles.

There are five ways to find if two triangles are congruent:

1) SSS (Side-Side-Side)

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

2) SAS (Side-Angle-Side)

If two sides and included angle of one triangle are equal to the corresponding sides and angle of another triangle, then the triangles are congruent.

3) ASA (Angle-Side-Angle)

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, then the triangle are congruent.

4) AAS (Angle-Angle-Side)

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent.

5) HL (Hypotenuse-Leg)

If the hypotenuse and one leg of one right-angles-triangle are equal to the corresponding hypotenuse and leg of another right-angles-triangle, then the two triangles are congruent.

From all of these postulates we observe that we always need three congruent parts to prove triangles are congruent.

To know more about congruence here

https://brainly.com/question/23729617

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