Chapter 3.2, Problem 7PSA

To determine

To prove : The congruency of $\Delta TVA\cong \Delta XWA$ is to be proved

Explanation of Solution

Given information : The following information has been given

  $\overrightarrow{TV}\cong \overrightarrow{XW}$

  $\overrightarrow{VA}\cong \overrightarrow{WA}$

  $\overrightarrow{TA}\cong \overrightarrow{XA}$

Formula used : We can say that any two given triangles are congruent if all three sides of both of those triangles are equal

Proof : From the given information we can say that in $△TVA$ and $△XWA$ , all three sides are given to be congruent

Hence, by the formula mentioned above, both of the triangles are congruent

Thus,

  $\Delta TVA\cong \Delta XWA$