Question

AB ≅ BC and AD ≅ CD 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?

Answer 1

It is given that, B ≅ BC and AD ≅ CD  

We need BD perpendicular to AC, then only we can say  triangles AXB and CXB are congruent using the HL theorem.

If BD perpendicular to AC, means that AB and CB are the hypotenuse of triangles AXB and CXB respectively.

from the given information ABCD is a square

If BD and AC bisect each other then AX = CX

Then only we can  immediately possible to prove that triangles AXD and CXD are congruent by SSS congruence theorem

Answer 2

Answer:

1. AC and BD are perpendicular

2. AX and CX are congruent

correct on edge 2022

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