Assume that TUV WXY. Which of the following congruence statements are correct? Check all that apply.A.T XB. C. D.Y VE.W VF.X USUBMITarrow_backPREVIOUS

To determine which congruence statements are correct based on the given condition $\triangle TUV \cong \triangle WXY$, we need to analyze the congruence properties.

1. ### Break Down the Problem

Given that $\triangle TUV \cong \triangle WXY$, we can derive the following relationships based on the congruence of triangles:

• Side $TU$ is congruent to side $WX$
• Side $UV$ is congruent to side $XY$
• Side $TV$ is congruent to side $WY$
• Angle $T$ is congruent to angle $W$
• Angle $U$ is congruent to angle $X$
• Angle $V$ is congruent to angle $Y$

2. ### Relevant Concepts

The congruence of two triangles implies:

• Corresponding sides are equal.
• Corresponding angles are equal.

3. ### Analysis and Detail

Let's examine the provided statements:

A. $T \cong X$ - Incorrect: $T$ corresponds to $W$. B. $Y \cong W$ - Correct: $Y$ corresponds to $W$. C. $V \cong E$ - The value of $E$ is not defined, so cannot determine. D. $F \cong X$ - The value of $F$ is not defined, so cannot determine. E. $V \cong Y$ - Incorrect: $V$ corresponds to $Y$.

4. ### Verify and Summarize

To summarize, we analyzed the relationships based on corresponding angles and sides of the triangles.

Final Answer

The correct congruence statement is:

• B. $Y \cong W$