Question

Figure TVWX is a square. Which statement is not necessarily true?

A.



 
B.



 
C.



 
D.

Answer 1

Line TW ~ Line VW is not necessarily true

Answer 2

Answer: A.
`TW \cong VW`

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.
`TW \cong VW` is not true because diagonal of the square cannot be equals to the side of a square.

B.
`XY \cong TW` is true because these are the sides of square.

C.
`\angle T \cong \angle V` because each angles of square are equal to 90°.

D.
`\angle X \cong \angle V` because each angles of square are equal to 90°.

∴ A. is not true.