Question

If in ∆DEF and ∆PQR, ∠D ≅ ∠Q, ∠R ≅ ∠E then which of the following statements is false?

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")`

• `("EF")/("PR") = ("DF")/("PQ")`

Answer 1

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

Explanation:

In ∆DEF and ∆PQR

∠D ≅ ∠Q

∠E ≅ ∠R

By AA test of similarity,

∆DEF ~ ∆PQR 

∴ `("DE")/("QR") = ("EF")/("RP") = ("DF")/("QP")`   ...(Corresponding angles of triangles are proportional)

∴ `("DE")/("PQ") ≠ ("EF")/("RP")`