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AB ≅ BC and AD ≅ CD

Triangles A B C and A D C share side A C. Line X is drawn from point B to point B to form 4 triangles.

What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem?



What additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem?

Respuesta :

The additional information that would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem is that BD is perpendicular to AC.

How to illustrate the information?

From the information, Triangles A B C and A D C share side A C. Line X is drawn from point B to point B to form 4 triangles.

In this case, the additional information that would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem is that BD is perpendicular to AC.

Also, the additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem is that AX and CX are congruent.

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