Understanding Geometric Proportions

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:

A. RT + TW = WX + TW.

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; the proportion will increase equally on both sides.

For example, let's consider RT = 5, WX = 5, and TW = 3:

Therefore, the algebraic equation would be 5 + 3 = 5 + 3.

Option A, RT + TW = WX + TW, is the correct answer because it aligns with the concept of geometric proportions where equal values added to equal values result in equality.