Question

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

Options

• `("EF")/("PR") = ("DF")/("PQ")`

• `("DE")/("PQ") = ("EF")/("RP")`

• `("DE")/("QR") = ("DF")/("PQ")`

• `("EF")/("RP") = ("DE")/("QR")`

Answer 1

`bb((DE)/(PQ) = (EF)/(RP))`

Explanation:

Given, in ∆DEF and ∆PQR,

∠D = ∠Q,

∠R = ∠E

∴ ∆DEF ~ ∆QRP ...[By AAA similarity criterion]

⇒ ∠F = ∠P   ...[Corresponding angles of similar triangles]

∴ `("DF")/("QP") = ("ED")/("RQ") = ("FE")/("PR")`