Answer:
The two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
Step-by-step explanation:
Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.
Here, as we can ΔABC goes under Rigid Transformation in to the ΔA'B'C'
⇒Sides AB, BC and AC correspond to the sides A'B',B'C' and A'C' respectively.
Also the ∠A, ∠B and∠C correspond to ∠A', ∠B' and∠C' respectively.
Now, in ΔABC and ΔA'B'C
AB = A'B'
BC = B' C'
AC = A'C'
⇒The two given triangles are congruent by SIDE SIDE SIDE property.
Also, ∠A = ∠A'
∠B = ∠B'
⇒The two given triangles are congruent by ANGLE ANGLE property.
Hence the two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
