Question

show that the triangles are congruent by making a complete congruence statement from the figure below

Answer 1

To show that the given triangles are congruent:

If the corresponding sides of one triangle is equal to the other triangle are equal and the corresponding angles of one triangle is equal to the other triangle are equal, then the triangles are congruent triangles.

So, we have

`\begin{gathered} \angle S\cong\angle T \\ \angle N\cong\angle P \\ \angle U\cong\angle A \end{gathered}`

And

`\begin{gathered} SN\cong TP \\ NU\cong PA \\ SU\cong TA \end{gathered}`

Thus,

`\Delta SNU\cong\Delta TPA`