Math

QuestionGiven STVWQX\triangle \mathrm{STV} \sim \triangle \mathrm{WQX}, find the missing value in STTV=WQ\frac{S T}{T V}=\frac{W Q}{\square}. Choices: a. ST, b. XW, c. VS, d. QXQ X

Studdy Solution

STEP 1

Assumptions1. TriangleV is similar to triangle WQX. The ratio of corresponding sides in similar triangles is equal

STEP 2

We are given that \triangleV \sim \triangle WQX. This means that the ratio of the corresponding sides of these triangles is equal.

STEP 3

The given ratio is TV=WQ\frac{}{TV} = \frac{WQ}{\square}. We need to find what should be in the place of the square to make the ratio true.

STEP 4

Since \triangleV \sim \triangle WQX, the sides correspond in the order of the letters. This means that side of triangleV corresponds to side WQ of triangle WQX, and side TV of triangleV corresponds to the side we are trying to find in triangle WQX.

STEP 5

Therefore, the side that corresponds to TV in triangle WQX is XQ.

STEP 6

So, the correct answer is XQ.
The ratio TV=WQXQ\frac{}{TV} = \frac{WQ}{XQ} holds true for the similar trianglesV and WQX.

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