Given that rt ≅ wx, which statement must be true? rt + tw = wx + tw rt = 2(rx) wx = 2(rx) rt + tw = rx

RT + TW = WX + TW

Step-by-step explanation:

Given:  RT ≅ WX

⇒ RT = WX [ Since congruent means equal]

If we add TW on both the sides the equation , we get

RT + TW = WX + TW [ by law of addition in equation]

So we have if RT ≅ WX then RT + TW = WX + TW

Now, let RT + TW = WX + TW

So, by law of cancellation in addition ,we get  RT = WX

⇒RT ≅ WX [Since equal means congruent]

hence, if we have given RT ≅ WX, then from the given options the statement which must be true is  

RT + TW = WX + TW.

The answer is A. on edgen.

Step-by-step explanation:

A. RT + TW = WX + TW