Answer: A. [tex]TW \cong VW[/tex]
Step-by-step explanation: In the given figure TVWX is a square, properties of square are:
(i) All sides equal.
(ii) All angles equals to 90°.
(iii) Diagonals are equal and bisect each other at 90°.
Here,
A. [tex]TW \cong VW[/tex] is not true because diagonal of the square cannot be equals to the side of a square.
B. [tex]XY \cong TW[/tex] is true because these are the sides of square.
C. [tex]\angle T \cong \angle V[/tex] because each angles of square are equal to 90°.
D. [tex]\angle X \cong \angle V[/tex] because each angles of square are equal to 90°.
∴ A. is not true.