If in two ∆DEF and ∆PQR, ∠ D = ∠ Q and ∠ R = ∠ E, then which of the following is not true?

Question

Philoid · Accepted Answer

Given: ∆DEF and ∆PQR,

∠D = ∠Q,

∠R = ∠E

As we know that if two corresponding angles of two triangles are congruent then both the triangles are similar because if two angle pairs are the equal then the third angle must also be equal.

So, by AAA similarity criteria,

∴ ∆DEF ∼ ∆QRP

⇒ ∠F = ∠P [corresponding angles of similar triangles]

Hence, except (B) all are true.

If in two ∆DEF and ∆PQR, ∠D = ∠Q and ∠R = ∠E, then which of the following is not true?