High School

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What do we use SSS, SAS, ASA, and AAS to prove?

Answer :

We have explained the theorems of the congruency of triangles.

What are the theorems of congruency of triangles?

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

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

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

This is the concept of geometry, we are required to prove the congruence of the triangles ADC and ABC shown in the figure using the properties that have been stated.

SSS (side-side-side) is a property that uses side lengths to prove congruence. In the figure, AD=AB, DC=BC, AC=AC. This indicates that the figure satisfies this property.

SAS (side-angle-side) is a property that uses two sides and at least one angle to prove that a set of figures are congruent to each other.

Therefore combining the two properties we can mathematically conclude that triangle ADC is congruent to ABC.

Hence, we have explained the theorems of the congruency of triangles.

To learn more about the congruency of triangles, visit:

https://brainly.com/question/3999145

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