Question

Assume that A TUVE AWXY. Which of the following congruence statementsare correct? Check all that apply.O A. TU SYO B. ZUSZTO c. ZWeZTO D. ZY=ZVO E. ZX=ZTO F. V = WX

Answer 1

Draw the triangles involve

According to congruency, two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Considerig the two triangles

`\Delta TUV\cong\Delta WXY`

Hence, we need to identify the correspounding angles, which are

`\begin{gathered} \angle T\cong\angle W \\ \angle U\cong\angle X \\ \angle V\cong\angle Y \end{gathered}`

Similarly, The correspounding sides are

`\begin{gathered} |TU|\cong|WX| \\ |UV|\cong|XY| \\ |TV|\cong|WY| \end{gathered}`

Hence the correct congrence statement are

`\begin{gathered} \angle W\cong\angle T \\ \text{And } \\ \angle Y\cong\angle V \end{gathered}`