Answer:
The reasons are given below.
Step-by-step explanation:
In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC
In ΔAXC and ΔBXC,
AX=BX (Given)
∠3 = ∠4 = 90° (both right angles)
CX=CX (Common i.e reflexive property of equality)
Hence by SAS similarity theorem ΔAXC ≅ ΔBXC
hence, the above are the reasons of the statements in given proof.