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.