Question

Given that RT ≅ WX, which statement must be true?

A: RT + TW = WX + TW

B: RT = 2(RX)

C: WX = 2(RX)

D: RT + TW = RX

Answer 1

A. RT + TW = WX + TW.

Step-by-step explanation:

From the relationship given, RT is approximately equal to WX.

This means that given this basic information, any other value added to it will no doubt provide the same result, i.e the proportion will increase equally on both sides.

For example:RT=5; WX = 5; if TW =3.

Therefore the algebra = 5+3 = 5+3.

RT = 2(RX) , we do not know the value of RX and it is not related to the algebra provided above.

WX = 2(RX), we also do not know the value of RX.

D: RT + TW = RX, has no relationship with the statement provided.

Answer 2

You can think about it this way:
If RT = WX, and we know that TW is the same measurement, that means that RT + WX = WX + TW.
The correct answer is A.