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Two triangles are congruent if they have the same size and shape. Here are the four common ways to prove that two triangles are congruent: SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), AAS (angle-angle-side). What are the four common ways to prove that two triangles are congruent?

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Two triangles are congruent if they have the same size and shape. Here are the four common ways to prove that two triangles are congruent:

A. SSS (side-side-side)
B. SAS (side-angle-side)
C. ASA (angle-side-angle)
D. AAS (angle-angle-side)




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    1. Quizzma Team

      Two triangles are congruent if they have the same size and shape. The four common ways to prove that two triangles are congruent are:

      A. SSS (side-side-side): If all three sides of one triangle are equal in length to the corresponding sides of another triangle, then the two triangles are congruent.

      B. SAS (side-angle-side): If two sides of one triangle and the angle between them are equal to two sides of another triangle and the angle between them, then the triangles are congruent.

      C. ASA (angle-side-angle): If two angles of one triangle and the side between them are equal to two angles of another triangle and the side between them, then the triangles are congruent.

      D. AAS (angle-angle-side): If two angles of one triangle and a side not between them are equal to two angles of another triangle and the corresponding side, then the triangles are congruent.

      Each of these methods ensures that the triangles are identical in shape and size, leading to congruence. If you have more questions or need deeper explanations, feel free to ask!

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