3. 1) On what basis can it be said that the triangles are similar?

Given:
Required:
To check the similarity of triangles.
Explanation:
In the first triangle,
[tex]\begin{gathered} \angle c=30\degree \\ \\ \angle A=90\degree \end{gathered}[/tex]And
[tex]\angle B=60\degree[/tex]In the second triangle,
[tex]\begin{gathered} \angle D=60\degree \\ \\ \angle E=90\degree \\ \\ \angle F=30\degree \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} \angle A=\angle E \\ \angle B=\angle D \\ \angle C=\angle F \end{gathered}[/tex]The corresponding angles are equal.
Final Answer:
On the basis of corresponding angles, we can say that the given two triangles are similar.