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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")`
Solution
`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")`
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