Question

State which pair of triangles in figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form:

• A. $AAA$
• B. $SSS$
• C. $ASA$
• D. $AAS$

Answer 1

The correct option is A $AAA$

In $△DEF$,
$\angle D={70}^{\circ }$
$\angle E={80}^{\circ }$
Sum of angles = 180
$\angle D+\angle E+\angle F=180$
$70+80+\angle F=180$
$\angle F={30}^{\circ }$
Now, In $△DEF$ and $△PQR$
$\angle E=\angle Q={80}^{\circ }$
$\angle F=\angle R={30}^{\circ }$
$\angle D=\angle P$ (third angle)
thus, $△DEF\sim △PQR$ (AAA rule)