NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 6: Triangles - Exercise 6.2

Question 2

Step 1: The symbol “\(\sim\)” means the two triangles are similar. Similar triangles have their corresponding angles equal and their sides in proportion.

Step 2: When triangles are written in order, the letters tell us which angles match with which.

• In \(\triangle DEF\), the first letter is D.
• In \(\triangle RPQ\), the first letter is R.
• So, \(\angle D \leftrightarrow \angle R\).

Step 3: Next, the second letters correspond:

• In \(\triangle DEF\), the second letter is E.
• In \(\triangle RPQ\), the second letter is P.
• So, \(\angle E \leftrightarrow \angle P\).

Step 4: Finally, the third letters correspond:

• In \(\triangle DEF\), the third letter is F.
• In \(\triangle RPQ\), the third letter is Q.
• So, \(\angle F \leftrightarrow \angle Q\).

Step 5: Therefore:

• \(\angle D = \angle R\) (True)
• \(\angle F = \angle P\) ❌ (False, because F matches with Q, not P)

Final Point: The statement is partly true. Only the first equality is correct.